46077198336 has 405 divisors, whose sum is σ = 147564447849. Its totient is φ = 13847887872.

The previous prime is 46077198263. The next prime is 46077198341. The reversal of 46077198336 is 63389177064.

The square root of 46077198336 is 214656.

It is a perfect power (a square), and thus also a powerful number.

46077198336 is a `hidden beast` number, since 460 + 7 + 71 + 9 + 83 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6816153600 + 39261044736 = 82560^2 + 198144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1071562731 + ... + 1071562773.

Almost surely, 2^46077198336 is an apocalyptic number.

46077198336 is the 214656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46077198336

46077198336 is an abundant number, since it is smaller than the sum of its proper divisors (101487249513).

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

46077198336 is an equidigital number, since it uses as much as digits as its factorization.

46077198336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 46077198336 in words is "forty-six billion, seventy-seven million, one hundred ninety-eight thousand, three hundred thirty-six".