46072677168 has 240 divisors, whose sum is σ = 149631256320. Its totient is φ = 12961783296.

The previous prime is 46072677149. The next prime is 46072677181. The reversal of 46072677168 is 86177627064.

46072677168 is a `hidden beast` number, since 4 + 607 + 26 + 7 + 7 + 1 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31707930 + ... + 31709382.

It is an arithmetic number, because the mean of its divisors is an integer number (623463568).

Almost surely, 2^46072677168 is an apocalyptic number.

46072677168 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 46072677168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74815628160).

46072677168 is an abundant number, since it is smaller than the sum of its proper divisors (103558579152).

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

46072677168 is a wasteful number, since it uses less digits than its factorization.

46072677168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 46072677168 in words is "forty-six billion, seventy-two million, six hundred seventy-seven thousand, one hundred sixty-eight".