100400614777647 has 24 divisors (see below), whose sum is σ = 150645412444800. Its totient is φ = 66822000612120.

The previous prime is 100400614777613. The next prime is 100400614777669. The reversal of 100400614777647 is 746777416004001.

100400614777647 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 0 + 61 + 477 + 76 + 47 = 666.

It is not a de Polignac number, because 100400614777647 - 2⁶ = 100400614777583 is a prime.

It is a super-3 number, since 3×100400614777647³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100400614777593 and 100400614777602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100400614757647) 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, 344738629 + ... + 345029742.

It is an arithmetic number, because the mean of its divisors is an integer number (6276892185200).

Almost surely, 2^{100400614777647} is an apocalyptic number.

100400614777647 is a deficient number, since it is larger than the sum of its proper divisors (50244797667153).

100400614777647 is an frugal number, since it uses more digits than its factorization.

100400614777647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689768985 (or 689768973 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 100400614777647 in words is "one hundred trillion, four hundred billion, six hundred fourteen million, seven hundred seventy-seven thousand, six hundred forty-seven".