10455109632 has 624 divisors, whose sum is σ = 36800524800. Its totient is φ = 2822307840.

The previous prime is 10455109619. The next prime is 10455109673. The reversal of 10455109632 is 23690155401.

10455109632 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 5 + 10 + 9 + 632 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177205219 + ... + 177205277.

It is an arithmetic number, because the mean of its divisors is an integer number (58975200).

Almost surely, 2^10455109632 is an apocalyptic number.

10455109632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10455109632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400262400).

10455109632 is an abundant number, since it is smaller than the sum of its proper divisors (26345415168).

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

10455109632 is a wasteful number, since it uses less digits than its factorization.

10455109632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10455109632 in words is "ten billion, four hundred fifty-five million, one hundred nine thousand, six hundred thirty-two".