48846326400 has 384 divisors, whose sum is σ = 182153966400. Its totient is φ = 12778721280.

The previous prime is 48846326381. The next prime is 48846326411. The reversal of 48846326400 is 462364884.

48846326400 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 632 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4573867 + ... + 4584533.

Almost surely, 2^48846326400 is an apocalyptic number.

48846326400 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 48846326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91076983200).

48846326400 is an abundant number, since it is smaller than the sum of its proper divisors (133307640000).

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

48846326400 is a wasteful number, since it uses less digits than its factorization.

48846326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10753 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 48846326400 in words is "forty-eight billion, eight hundred forty-six million, three hundred twenty-six thousand, four hundred".