100466414433 has 24 divisors (see below), whose sum is σ = 180926531136. Its totient is φ = 52190344800.

The previous prime is 100466414431. The next prime is 100466414453. The reversal of 100466414433 is 334414664001.

100466414433 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 6 + 641 + 4 + 4 + 3 + 3 = 666.

It is not a de Polignac number, because 100466414433 - 2¹ = 100466414431 is a prime.

It is a super-2 number, since 2×100466414433² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100466414431) 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, 72485898 + ... + 72487283.

It is an arithmetic number, because the mean of its divisors is an integer number (7538605464).

Almost surely, 2^100466414433 is an apocalyptic number.

It is an amenable number.

100466414433 is a deficient number, since it is larger than the sum of its proper divisors (80460116703).

100466414433 is a wasteful number, since it uses less digits than its factorization.

100466414433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144973205 (or 144973202 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 100466414433 in words is "one hundred billion, four hundred sixty-six million, four hundred fourteen thousand, four hundred thirty-three".