10623066474000 has 320 divisors, whose sum is σ = 34529072497920. Its totient is φ = 2809728000000.

The previous prime is 10623066473969. The next prime is 10623066474019. The reversal of 10623066474000 is 47466032601.

It is a happy number.

It is a super-2 number, since 2×10623066474000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10623066474000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362931366 + ... + 362960634.

It is an arithmetic number, because the mean of its divisors is an integer number (107903351556).

Almost surely, 2^{10623066474000} is an apocalyptic number.

10623066474000 is a gapful number since it is divisible by the number (10) 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 10623066474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264536248960).

10623066474000 is an abundant number, since it is smaller than the sum of its proper divisors (23906006023920).

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

10623066474000 is a wasteful number, since it uses less digits than its factorization.

10623066474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29787 (or 29771 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 10623066474000 in words is "ten trillion, six hundred twenty-three billion, sixty-six million, four hundred seventy-four thousand".