1854945997632 has 1344 divisors, whose sum is σ = 7231982284800. Its totient is φ = 467543881728.

The previous prime is 1854945997613. The next prime is 1854945997637. The reversal of 1854945997632 is 2367995494581.

1854945997632 is a `hidden beast` number, since 1 + 8 + 54 + 9 + 459 + 97 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1854945997637) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1594965883 + ... + 1594967045.

It is an arithmetic number, because the mean of its divisors is an integer number (5380939200).

Almost surely, 2^{1854945997632} is an apocalyptic number.

1854945997632 is a gapful number since it is divisible by the number (12) 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 1854945997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615991142400).

1854945997632 is an abundant number, since it is smaller than the sum of its proper divisors (5377036287168).

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

1854945997632 is a wasteful number, since it uses less digits than its factorization.

1854945997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1211 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 1854945997632 in words is "one trillion, eight hundred fifty-four billion, nine hundred forty-five million, nine hundred ninety-seven thousand, six hundred thirty-two".