46748057553792 has 192 divisors, whose sum is σ = 153769863368160. Its totient is φ = 13353984000000.

The previous prime is 46748057553781. The next prime is 46748057553809. The reversal of 46748057553792 is 29735575084764.

46748057553792 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 80 + 5 + 7 + 5 + 537 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 46748057553792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40991292 + ... + 42116292.

Almost surely, 2^{46748057553792} is an apocalyptic number.

46748057553792 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 46748057553792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76884931684080).

46748057553792 is an abundant number, since it is smaller than the sum of its proper divisors (107021805814368).

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

46748057553792 is a wasteful number, since it uses less digits than its factorization.

46748057553792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130181 (or 1130166 counting only the distinct ones).

The product of its (nonzero) digits is 1778112000, while the sum is 72.

The spelling of 46748057553792 in words is "forty-six trillion, seven hundred forty-eight billion, fifty-seven million, five hundred fifty-three thousand, seven hundred ninety-two".