46881158688 has 576 divisors, whose sum is σ = 168412608000. Its totient is φ = 12043468800.

The previous prime is 46881158677. The next prime is 46881158699. The reversal of 46881158688 is 88685118864.

46881158688 is a `hidden beast` number, since 46 + 8 + 8 + 1 + 1 + 586 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (46881158677) and next prime (46881158699).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 235583613 + ... + 235583811.

It is an arithmetic number, because the mean of its divisors is an integer number (292383000).

Almost surely, 2^46881158688 is an apocalyptic number.

46881158688 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 46881158688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304000).

46881158688 is an abundant number, since it is smaller than the sum of its proper divisors (121531449312).

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

46881158688 is a wasteful number, since it uses less digits than its factorization.

46881158688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 63.

The spelling of 46881158688 in words is "forty-six billion, eight hundred eighty-one million, one hundred fifty-eight thousand, six hundred eighty-eight".