1472345086464 has 240 divisors, whose sum is σ = 5111927071680. Its totient is φ = 398529331200.

The previous prime is 1472345086451. The next prime is 1472345086477. The reversal of 1472345086464 is 4646805432741.

1472345086464 is a `hidden beast` number, since 1 + 4 + 72 + 3 + 4 + 508 + 6 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1472345086451) and next prime (1472345086477).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1472345086464.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588337 + ... + 1814064.

It is an arithmetic number, because the mean of its divisors is an integer number (21299696132).

Almost surely, 2^{1472345086464} is an apocalyptic number.

1472345086464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1472345086464 is an abundant number, since it is smaller than the sum of its proper divisors (3639581985216).

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

1472345086464 is a wasteful number, since it uses less digits than its factorization.

1472345086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402451 (or 2402432 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 1472345086464 in words is "one trillion, four hundred seventy-two billion, three hundred forty-five million, eighty-six thousand, four hundred sixty-four".