46275151104 has 432 divisors, whose sum is σ = 173885467392. Its totient is φ = 11485642752.

The previous prime is 46275151051. The next prime is 46275151123. The reversal of 46275151104 is 40115157264.

46275151104 is a `hidden beast` number, since 4 + 6 + 27 + 515 + 110 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3557797 + ... + 3570779.

It is an arithmetic number, because the mean of its divisors is an integer number (402512656).

Almost surely, 2^46275151104 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 46275151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86942733696).

46275151104 is an abundant number, since it is smaller than the sum of its proper divisors (127610316288).

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

46275151104 is a wasteful number, since it uses less digits than its factorization.

46275151104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 46275151104 in words is "forty-six billion, two hundred seventy-five million, one hundred fifty-one thousand, one hundred four".