95457466750464 has 720 divisors, whose sum is σ = 345348926722800. Its totient is φ = 25159463239680.

The previous prime is 95457466750453. The next prime is 95457466750519. The reversal of 95457466750464 is 46405766475459.

95457466750464 is a `hidden beast` number, since 9 + 5 + 4 + 57 + 4 + 6 + 6 + 7 + 504 + 64 = 666.

It is a super-2 number, since 2×95457466750464² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 95457466750392 and 95457466750401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4987058334 + ... + 4987077474.

It is an arithmetic number, because the mean of its divisors is an integer number (479651287115).

Almost surely, 2^{95457466750464} 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 95457466750464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172674463361400).

95457466750464 is an abundant number, since it is smaller than the sum of its proper divisors (249891459972336).

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

95457466750464 is a wasteful number, since it uses less digits than its factorization.

95457466750464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20891 (or 20865 counting only the distinct ones).

The product of its (nonzero) digits is 3048192000, while the sum is 72.

The spelling of 95457466750464 in words is "ninety-five trillion, four hundred fifty-seven billion, four hundred sixty-six million, seven hundred fifty thousand, four hundred sixty-four".