10932918748416 has 540 divisors, whose sum is σ = 39145849142400. Its totient is φ = 3022918133760.

The previous prime is 10932918748403. The next prime is 10932918748439. The reversal of 10932918748416 is 61484781923901.

10932918748416 is a `hidden beast` number, since 1 + 0 + 9 + 32 + 9 + 187 + 4 + 8 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 31324435 + ... + 31671533.

Almost surely, 2^{10932918748416} is an apocalyptic number.

10932918748416 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 10932918748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19572924571200).

10932918748416 is an abundant number, since it is smaller than the sum of its proper divisors (28212930393984).

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

10932918748416 is an equidigital number, since it uses as much as digits as its factorization.

10932918748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347172 (or 347142 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 10932918748416 in words is "ten trillion, nine hundred thirty-two billion, nine hundred eighteen million, seven hundred forty-eight thousand, four hundred sixteen".