48468396608640 has 512 divisors, whose sum is σ = 188549856000000. Its totient is φ = 11712269758464.

The previous prime is 48468396608629. The next prime is 48468396608683. The reversal of 48468396608640 is 4680669386484.

48468396608640 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 8 + 3 + 9 + 6 + 608 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4342111 + ... + 10760609.

It is an arithmetic number, because the mean of its divisors is an integer number (368261437500).

Almost surely, 2^{48468396608640} is an apocalyptic number.

48468396608640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48468396608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94274928000000).

48468396608640 is an abundant number, since it is smaller than the sum of its proper divisors (140081459391360).

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

48468396608640 is a wasteful number, since it uses less digits than its factorization.

48468396608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418569 (or 6418551 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 48468396608640 in words is "forty-eight trillion, four hundred sixty-eight billion, three hundred ninety-six million, six hundred eight thousand, six hundred forty".