101763406464 has 256 divisors, whose sum is σ = 285186908160. Its totient is φ = 32114073600.

The previous prime is 101763406439. The next prime is 101763406487. The reversal of 101763406464 is 464604367101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129305079 + ... + 129305865.

It is an arithmetic number, because the mean of its divisors is an integer number (1114011360).

Almost surely, 2^101763406464 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 101763406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142593454080).

101763406464 is an abundant number, since it is smaller than the sum of its proper divisors (183423501696).

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

101763406464 is a wasteful number, since it uses less digits than its factorization.

101763406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 101763406464 in words is "one hundred one billion, seven hundred sixty-three million, four hundred six thousand, four hundred sixty-four".