46077716160 has 896 divisors, whose sum is σ = 194584320000. Its totient is φ = 10044850176.

The previous prime is 46077716141. The next prime is 46077716173. The reversal of 46077716160 is 6161777064.

46077716160 is a `hidden beast` number, since 460 + 7 + 7 + 71 + 61 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 132027666 + ... + 132028014.

It is an arithmetic number, because the mean of its divisors is an integer number (217170000).

Almost surely, 2^46077716160 is an apocalyptic number.

46077716160 is a gapful number since it is divisible by the number (40) 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 46077716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160000).

46077716160 is an abundant number, since it is smaller than the sum of its proper divisors (148506603840).

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

46077716160 is a wasteful number, since it uses less digits than its factorization.

46077716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 46077716160 in words is "forty-six billion, seventy-seven million, seven hundred sixteen thousand, one hundred sixty".