1852405563456 has 336 divisors, whose sum is σ = 6291293731840. Its totient is φ = 509941370880.

The previous prime is 1852405563409. The next prime is 1852405563457. The reversal of 1852405563456 is 6543655042581.

1852405563456 is a `hidden beast` number, since 1 + 8 + 5 + 2 + 4 + 0 + 556 + 34 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1852405563457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28590810 + ... + 28655526.

Almost surely, 2^{1852405563456} is an apocalyptic number.

1852405563456 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 1852405563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145646865920).

1852405563456 is an abundant number, since it is smaller than the sum of its proper divisors (4438888168384).

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

1852405563456 is a wasteful number, since it uses less digits than its factorization.

1852405563456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65002 (or 64989 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 1852405563456 in words is "one trillion, eight hundred fifty-two billion, four hundred five million, five hundred sixty-three thousand, four hundred fifty-six".