46035053064 has 288 divisors, whose sum is σ = 168671280960. Its totient is φ = 11037185280.

The previous prime is 46035053039. The next prime is 46035053107.

46035053064 is a `hidden beast` number, since 4 + 60 + 3 + 5 + 0 + 530 + 64 = 666.

46035053064 is nontrivially palindromic in base 10.

46035053064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46035053064² (a number of 22 digits) contains 22 as substring.

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

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, 763759 + ... + 821825.

It is an arithmetic number, because the mean of its divisors is an integer number (585664170).

Almost surely, 2^46035053064 is an apocalyptic number.

46035053064 is a gapful number since it is divisible by the number (44) 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 46035053064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84335640480).

46035053064 is an abundant number, since it is smaller than the sum of its proper divisors (122636227896).

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

46035053064 is a wasteful number, since it uses less digits than its factorization.

46035053064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58121 (or 58103 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 46035053064 in words is "forty-six billion, thirty-five million, fifty-three thousand, sixty-four".