46032133529088 has 720 divisors, whose sum is σ = 162841159887120. Its totient is φ = 12447157911552.

The previous prime is 46032133529047. The next prime is 46032133529117. The reversal of 46032133529088 is 88092533123064.

46032133529088 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 2 + 1 + 33 + 529 + 0 + 88 = 666.

It is a super-2 number, since 2×46032133529088² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4689017556 + ... + 4689027372.

It is an arithmetic number, because the mean of its divisors is an integer number (226168277621).

Almost surely, 2^{46032133529088} is an apocalyptic number.

46032133529088 is a gapful number since it is divisible by the number (48) 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 46032133529088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81420579943560).

46032133529088 is an abundant number, since it is smaller than the sum of its proper divisors (116809026358032).

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

46032133529088 is a wasteful number, since it uses less digits than its factorization.

46032133529088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10967 (or 10941 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 46032133529088 in words is "forty-six trillion, thirty-two billion, one hundred thirty-three million, five hundred twenty-nine thousand, eighty-eight".