46235052864 has 1344 divisors, whose sum is σ = 194113221120. Its totient is φ = 10121379840.

The previous prime is 46235052839. The next prime is 46235052887. The reversal of 46235052864 is 46825053264.

46235052864 is a `hidden beast` number, since 4 + 62 + 3 + 5 + 0 + 528 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×46235052864² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 519494932 + ... + 519495020.

It is an arithmetic number, because the mean of its divisors is an integer number (144429480).

Almost surely, 2^46235052864 is an apocalyptic number.

46235052864 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 46235052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97056610560).

46235052864 is an abundant number, since it is smaller than the sum of its proper divisors (147878168256).

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

46235052864 is a wasteful number, since it uses less digits than its factorization.

46235052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 46235052864 in words is "forty-six billion, two hundred thirty-five million, fifty-two thousand, eight hundred sixty-four".