48997734374400 has 1056 divisors, whose sum is σ = 191767257062400. Its totient is φ = 10799866183680.

The previous prime is 48997734374399. The next prime is 48997734374431. The reversal of 48997734374400 is 447343779984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2247694701 + ... + 2247716499.

Almost surely, 2^{48997734374400} is an apocalyptic number.

48997734374400 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 48997734374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95883628531200).

48997734374400 is an abundant number, since it is smaller than the sum of its proper divisors (142769522688000).

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

48997734374400 is a wasteful number, since it uses less digits than its factorization.

48997734374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21989 (or 21966 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 69.

The spelling of 48997734374400 in words is "forty-eight trillion, nine hundred ninety-seven billion, seven hundred thirty-four million, three hundred seventy-four thousand, four hundred".