10503217146912 has 768 divisors, whose sum is σ = 33842664898560. Its totient is φ = 2789705318400.

The previous prime is 10503217146889. The next prime is 10503217146973. The reversal of 10503217146912 is 21964171230501.

It is a super-2 number, since 2×10503217146912² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9609530238 + ... + 9609531330.

It is an arithmetic number, because the mean of its divisors is an integer number (44065969920).

Almost surely, 2^{10503217146912} is an apocalyptic number.

10503217146912 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 10503217146912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16921332449280).

10503217146912 is an abundant number, since it is smaller than the sum of its proper divisors (23339447751648).

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

10503217146912 is a wasteful number, since it uses less digits than its factorization.

10503217146912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 10503217146912 in words is "ten trillion, five hundred three billion, two hundred seventeen million, one hundred forty-six thousand, nine hundred twelve".