10514880440064 has 972 divisors, whose sum is σ = 41660694594792. Its totient is φ = 2520999936000.

The previous prime is 10514880440027. The next prime is 10514880440087. The reversal of 10514880440064 is 46004408841501.

10514880440064 is a `hidden beast` number, since 1 + 0 + 5 + 148 + 8 + 0 + 440 + 0 + 64 = 666.

It is a super-2 number, since 2×10514880440064² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 209848614 + ... + 209898714.

Almost surely, 2^{10514880440064} is an apocalyptic number.

10514880440064 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 10514880440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20830347297396).

10514880440064 is an abundant number, since it is smaller than the sum of its proper divisors (31145814154728).

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

10514880440064 is a wasteful number, since it uses less digits than its factorization.

10514880440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50174 (or 50137 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 10514880440064 in words is "ten trillion, five hundred fourteen billion, eight hundred eighty million, four hundred forty thousand, sixty-four".