469612628100 has 1728 divisors, whose sum is σ = 2009279731200. Its totient is φ = 91968307200.

The previous prime is 469612628041. The next prime is 469612628117. The reversal of 469612628100 is 1826216964.

469612628100 is a `hidden beast` number, since 4 + 6 + 9 + 6 + 1 + 2 + 628 + 10 + 0 = 666.

It is a super-2 number, since 2×469612628100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4841367252 + ... + 4841367348.

Almost surely, 2^469612628100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469612628100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004639865600).

469612628100 is an abundant number, since it is smaller than the sum of its proper divisors (1539667103100).

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

469612628100 is a wasteful number, since it uses less digits than its factorization.

469612628100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 469612628100 in words is "four hundred sixty-nine billion, six hundred twelve million, six hundred twenty-eight thousand, one hundred".