1607132046456 has 80 divisors (see below), whose sum is σ = 4545161478000. Its totient is φ = 530509585536.

The previous prime is 1607132046431. The next prime is 1607132046463. The reversal of 1607132046456 is 6546402317061.

1607132046456 is a `hidden beast` number, since 1 + 6 + 0 + 7 + 132 + 0 + 464 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11972781 + ... + 12106268.

It is an arithmetic number, because the mean of its divisors is an integer number (56814518475).

Almost surely, 2^{1607132046456} is an apocalyptic number.

It is an amenable number.

1607132046456 is an abundant number, since it is smaller than the sum of its proper divisors (2938029431544).

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

1607132046456 is a wasteful number, since it uses less digits than its factorization.

1607132046456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24079170 (or 24079157 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1607132046456 in words is "one trillion, six hundred seven billion, one hundred thirty-two million, forty-six thousand, four hundred fifty-six".