101451161664 has 224 divisors, whose sum is σ = 316301932800. Its totient is φ = 31776399360.

The previous prime is 101451161641. The next prime is 101451161729. The reversal of 101451161664 is 466161154101.

101451161664 is a `hidden beast` number, since 10 + 14 + 5 + 11 + 616 + 6 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 20825149 + ... + 20830019.

It is an arithmetic number, because the mean of its divisors is an integer number (1412062200).

Almost surely, 2^101451161664 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 101451161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158150966400).

101451161664 is an abundant number, since it is smaller than the sum of its proper divisors (214850771136).

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

101451161664 is a wasteful number, since it uses less digits than its factorization.

101451161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 101451161664 in words is "one hundred one billion, four hundred fifty-one million, one hundred sixty-one thousand, six hundred sixty-four".