1457971946856 has 96 divisors (see below), whose sum is σ = 4178035992000. Its totient is φ = 458026555392.

The previous prime is 1457971946831. The next prime is 1457971946857. The reversal of 1457971946856 is 6586491797541.

1457971946856 is a `hidden beast` number, since 1 + 4 + 579 + 7 + 1 + 9 + 46 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1457971946857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2497036 + ... + 3025083.

It is an arithmetic number, because the mean of its divisors is an integer number (43521208250).

Almost surely, 2^{1457971946856} is an apocalyptic number.

It is an amenable number.

1457971946856 is an abundant number, since it is smaller than the sum of its proper divisors (2720064045144).

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

1457971946856 is a wasteful number, since it uses less digits than its factorization.

1457971946856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522343 (or 5522336 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 1457971946856 in words is "one trillion, four hundred fifty-seven billion, nine hundred seventy-one million, nine hundred forty-six thousand, eight hundred fifty-six".