10621933947456 has 336 divisors, whose sum is σ = 32180320362624. Its totient is φ = 3073207762944.

The previous prime is 10621933947433. The next prime is 10621933947463. The reversal of 10621933947456 is 65474933912601.

It is a super-2 number, since 2×10621933947456² (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 10621933947456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860557221 + ... + 860569563.

It is an arithmetic number, because the mean of its divisors is an integer number (95774762984).

Almost surely, 2^{10621933947456} is an apocalyptic number.

10621933947456 is a gapful number since it is divisible by the number (16) 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 10621933947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090160181312).

10621933947456 is an abundant number, since it is smaller than the sum of its proper divisors (21558386415168).

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

10621933947456 is a wasteful number, since it uses less digits than its factorization.

10621933947456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598 (or 13571 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 10621933947456 in words is "ten trillion, six hundred twenty-one billion, nine hundred thirty-three million, nine hundred forty-seven thousand, four hundred fifty-six".