10492234386816 has 2304 divisors, whose sum is σ = 40390648704000. Its totient is φ = 2376684011520.

The previous prime is 10492234386787. The next prime is 10492234386841. The reversal of 10492234386816 is 61868343229401.

It is a super-2 number, since 2×10492234386816² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 132813093465 + ... + 132813093543.

It is an arithmetic number, because the mean of its divisors is an integer number (17530663500).

Almost surely, 2^{10492234386816} is an apocalyptic number.

10492234386816 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 10492234386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20195324352000).

10492234386816 is an abundant number, since it is smaller than the sum of its proper divisors (29898414317184).

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

10492234386816 is a wasteful number, since it uses less digits than its factorization.

10492234386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 10492234386816 in words is "ten trillion, four hundred ninety-two billion, two hundred thirty-four million, three hundred eighty-six thousand, eight hundred sixteen".