46468656751104 has 840 divisors, whose sum is σ = 167519517891660. Its totient is φ = 12818793480192.

The previous prime is 46468656751103. The next prime is 46468656751117. The reversal of 46468656751104 is 40115765686464.

46468656751104 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 8 + 6 + 567 + 51 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43339154229504 + 3129502521600 = 6583248^2 + 1769040^2 .

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

It is not an unprimeable number, because it can be changed into a prime (46468656751103) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 530341602 + ... + 530429214.

Almost surely, 2^{46468656751104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46468656751104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83759758945830).

46468656751104 is an abundant number, since it is smaller than the sum of its proper divisors (121050861140556).

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

46468656751104 is an frugal number, since it uses more digits than its factorization.

46468656751104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87692 (or 87654 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 46468656751104 in words is "forty-six trillion, four hundred sixty-eight billion, six hundred fifty-six million, seven hundred fifty-one thousand, one hundred four".