10123762452804 has 576 divisors, whose sum is σ = 35090387404800. Its totient is φ = 2425217760000.

The previous prime is 10123762452787. The next prime is 10123762452809. The reversal of 10123762452804 is 40825426732101.

10123762452804 is a `hidden beast` number, since 1 + 0 + 12 + 3 + 7 + 624 + 5 + 2 + 8 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10123762452804.

It is not an unprimeable number, because it can be changed into a prime (10123762452809) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3550949979 + ... + 3550952829.

Almost surely, 2^{10123762452804} is an apocalyptic number.

10123762452804 is a gapful number since it is divisible by the number (14) 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 10123762452804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545193702400).

10123762452804 is an abundant number, since it is smaller than the sum of its proper divisors (24966624951996).

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

10123762452804 is a wasteful number, since it uses less digits than its factorization.

10123762452804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10123762452804 in words is "ten trillion, one hundred twenty-three billion, seven hundred sixty-two million, four hundred fifty-two thousand, eight hundred four".