10115149290624 has 1792 divisors, whose sum is σ = 36843893280000. Its totient is φ = 2761808265216.

The previous prime is 10115149290601. The next prime is 10115149290641. The reversal of 10115149290624 is 42609294151101.

10115149290624 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 14 + 9 + 2 + 9 + 0 + 624 = 666.

It is a super-2 number, since 2×10115149290624² (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 10115149290624.

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 223 ways as a sum of consecutive naturals, for example, 113653362772 + ... + 113653362860.

Almost surely, 2^{10115149290624} is an apocalyptic number.

10115149290624 is a gapful number since it is divisible by the number (14) 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 10115149290624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18421946640000).

10115149290624 is an abundant number, since it is smaller than the sum of its proper divisors (26728743989376).

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

10115149290624 is an frugal number, since it uses more digits than its factorization.

10115149290624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10115149290624 in words is "ten trillion, one hundred fifteen billion, one hundred forty-nine million, two hundred ninety thousand, six hundred twenty-four".