10100466545664 has 176 divisors, whose sum is σ = 29659618650816. Its totient is φ = 3030441984000.

The previous prime is 10100466545651. The next prime is 10100466545677. The reversal of 10100466545664 is 46654566400101.

It is an interprime number because it is at equal distance from previous prime (10100466545651) and next prime (10100466545677).

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 1933284 + ... + 4892700.

It is an arithmetic number, because the mean of its divisors is an integer number (168520560516).

Almost surely, 2^{10100466545664} 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 10100466545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829809325408).

10100466545664 is an abundant number, since it is smaller than the sum of its proper divisors (19559152105152).

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

10100466545664 is a wasteful number, since it uses less digits than its factorization.

10100466545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959552 (or 2959534 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 10100466545664 in words is "ten trillion, one hundred billion, four hundred sixty-six million, five hundred forty-five thousand, six hundred sixty-four".