10514081664 has 256 divisors, whose sum is σ = 33359385600. Its totient is φ = 3248087040.

The previous prime is 10514081657. The next prime is 10514081671. The reversal of 10514081664 is 46618041501.

10514081664 is a `hidden beast` number, since 1 + 0 + 514 + 0 + 81 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (10514081657) and next prime (10514081671).

It is a super-2 number, since 2×10514081664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3935049 + ... + 3937719.

It is an arithmetic number, because the mean of its divisors is an integer number (130310100).

Almost surely, 2^10514081664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10514081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679692800).

10514081664 is an abundant number, since it is smaller than the sum of its proper divisors (22845303936).

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

10514081664 is a wasteful number, since it uses less digits than its factorization.

10514081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10514081664 in words is "ten billion, five hundred fourteen million, eighty-one thousand, six hundred sixty-four".