96948157630464 has 576 divisors, whose sum is σ = 351377881545600. Its totient is φ = 26070076882944.

The previous prime is 96948157630369. The next prime is 96948157630531. The reversal of 96948157630464 is 46403675184969.

96948157630464 is a `hidden beast` number, since 9 + 6 + 9 + 4 + 8 + 1 + 576 + 3 + 0 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 96948157630392 and 96948157630401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58403502 + ... + 60040530.

It is an arithmetic number, because the mean of its divisors is an integer number (610031044350).

Almost surely, 2^{96948157630464} 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 96948157630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175688940772800).

96948157630464 is an abundant number, since it is smaller than the sum of its proper divisors (254429723915136).

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

96948157630464 is a wasteful number, since it uses less digits than its factorization.

96948157630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637090 (or 1637058 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 96948157630464 in words is "ninety-six trillion, nine hundred forty-eight billion, one hundred fifty-seven million, six hundred thirty thousand, four hundred sixty-four".