100407453564649 has 48 divisors (see below), whose sum is σ = 130393089921600. Its totient is φ = 76413526640640.

The previous prime is 100407453564631. The next prime is 100407453564679. The reversal of 100407453564649 is 946465354704001.

It is a happy number.

It is not a de Polignac number, because 100407453564649 - 2¹³ = 100407453556457 is a prime.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100407453564593 and 100407453564602.

It is not an unprimeable number, because it can be changed into a prime (100407453564679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280564177 + ... + 280921825.

It is an arithmetic number, because the mean of its divisors is an integer number (2716522706700).

Almost surely, 2^{100407453564649} is an apocalyptic number.

It is an amenable number.

100407453564649 is a deficient number, since it is larger than the sum of its proper divisors (29985636356951).

100407453564649 is a wasteful number, since it uses less digits than its factorization.

100407453564649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369830 (or 369823 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 58.

The spelling of 100407453564649 in words is "one hundred trillion, four hundred seven billion, four hundred fifty-three million, five hundred sixty-four thousand, six hundred forty-nine".