46457637888256 has 243 divisors, whose sum is σ = 113885968614831. Its totient is φ = 18856610583552.

The previous prime is 46457637888253. The next prime is 46457637888287. The reversal of 46457637888256 is 65288873675464.

The square root of 46457637888256 is 6815984.

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

It is a super-2 number, since 2×46457637888256² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46457637888253) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14504412351 + ... + 14504415553.

Almost surely, 2^{46457637888256} is an apocalyptic number.

46457637888256 is the 6815984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46457637888256

46457637888256 is an abundant number, since it is smaller than the sum of its proper divisors (67428330726575).

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

46457637888256 is an frugal number, since it uses more digits than its factorization.

46457637888256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 3231 counting only the distinct ones).

The product of its digits is 13005619200, while the sum is 79.

The spelling of 46457637888256 in words is "forty-six trillion, four hundred fifty-seven billion, six hundred thirty-seven million, eight hundred eighty-eight thousand, two hundred fifty-six".