48974910196800 has 4032 divisors, whose sum is σ = 218893349928960. Its totient is φ = 9492037632000.

The previous prime is 48974910196789. The next prime is 48974910196811. The reversal of 48974910196800 is 869101947984.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48974910196789) and next prime (48974910196811).

It is a super-2 number, since 2×48974910196800² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 116885226991 + ... + 116885227409.

It is an arithmetic number, because the mean of its divisors is an integer number (54289025280).

Almost surely, 2^{48974910196800} is an apocalyptic number.

48974910196800 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 48974910196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109446674964480).

48974910196800 is an abundant number, since it is smaller than the sum of its proper divisors (169918439732160).

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

48974910196800 is a wasteful number, since it uses less digits than its factorization.

48974910196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 66.

The spelling of 48974910196800 in words is "forty-eight trillion, nine hundred seventy-four billion, nine hundred ten million, one hundred ninety-six thousand, eight hundred".