46474192945152 has 816 divisors, whose sum is σ = 168618542371200. Its totient is φ = 12579034890240.

The previous prime is 46474192945121. The next prime is 46474192945163. The reversal of 46474192945152 is 25154929147464.

46474192945152 is a `hidden beast` number, since 4 + 6 + 4 + 7 + 41 + 92 + 9 + 451 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 46474192945152.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647364327 + ... + 1647392537.

Almost surely, 2^{46474192945152} is an apocalyptic number.

46474192945152 is a gapful number since it is divisible by the number (42) 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 46474192945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84309271185600).

46474192945152 is an abundant number, since it is smaller than the sum of its proper divisors (122144349426048).

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

46474192945152 is an equidigital number, since it uses as much as digits as its factorization.

46474192945152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28285 (or 28242 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 46474192945152 in words is "forty-six trillion, four hundred seventy-four billion, one hundred ninety-two million, nine hundred forty-five thousand, one hundred fifty-two".