46257997968 has 640 divisors, whose sum is σ = 182188339200. Its totient is φ = 10874953728.

The previous prime is 46257997943. The next prime is 46257997999. The reversal of 46257997968 is 86979975264.

46257997968 is a `hidden beast` number, since 46 + 2 + 579 + 9 + 7 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46257997896 and 46257997905.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12695955 + ... + 12699597.

It is an arithmetic number, because the mean of its divisors is an integer number (284669280).

Almost surely, 2^46257997968 is an apocalyptic number.

46257997968 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 46257997968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91094169600).

46257997968 is an abundant number, since it is smaller than the sum of its proper divisors (135930341232).

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

46257997968 is a wasteful number, since it uses less digits than its factorization.

46257997968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3704 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 46257997968 in words is "forty-six billion, two hundred fifty-seven million, nine hundred ninety-seven thousand, nine hundred sixty-eight".