48628895616000 has 1232 divisors, whose sum is σ = 207882194145600. Its totient is φ = 11115026841600.

The previous prime is 48628895615969. The next prime is 48628895616043. The reversal of 48628895616000 is 61659882684.

48628895616000 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 8 + 8 + 9 + 5 + 616 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 653146776 + ... + 653221224.

Almost surely, 2^{48628895616000} is an apocalyptic number.

48628895616000 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 48628895616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103941097072800).

48628895616000 is an abundant number, since it is smaller than the sum of its proper divisors (159253298529600).

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

48628895616000 is an frugal number, since it uses more digits than its factorization.

48628895616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74509 (or 74466 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 48628895616000 in words is "forty-eight trillion, six hundred twenty-eight billion, eight hundred ninety-five million, six hundred sixteen thousand".