1853996691456 has 1248 divisors, whose sum is σ = 6999271096320. Its totient is φ = 474508689408.

The previous prime is 1853996691439. The next prime is 1853996691457. The reversal of 1853996691456 is 6541966993581.

1853996691456 is a `hidden beast` number, since 1 + 85 + 3 + 9 + 9 + 6 + 6 + 91 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (377913600) is a multiple of the sum of its prime factors (486).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1853996691457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4840722241 + ... + 4840722623.

Almost surely, 2^{1853996691456} is an apocalyptic number.

1853996691456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1853996691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499635548160).

1853996691456 is an abundant number, since it is smaller than the sum of its proper divisors (5145274404864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1853996691456 is a wasteful number, since it uses less digits than its factorization.

1853996691456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 445 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 72.

It can be divided in two parts, 1853996 and 691456, that added together give a palindrome (2545452).

The spelling of 1853996691456 in words is "one trillion, eight hundred fifty-three billion, nine hundred ninety-six million, six hundred ninety-one thousand, four hundred fifty-six".