48037316198400 has 1428 divisors, whose sum is σ = 183611957483392. Its totient is φ = 12452269916160.

The previous prime is 48037316198371. The next prime is 48037316198419. The reversal of 48037316198400 is 489161373084.

48037316198400 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 73 + 161 + 9 + 8 + 400 = 666.

It is a super-3 number, since 3×48037316198400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 44192562657 + ... + 44192563743.

Almost surely, 2^{48037316198400} is an apocalyptic number.

48037316198400 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 48037316198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91805978741696).

48037316198400 is an abundant number, since it is smaller than the sum of its proper divisors (135574641284992).

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

48037316198400 is an frugal number, since it uses more digits than its factorization.

48037316198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48037316198400 in words is "forty-eight trillion, thirty-seven billion, three hundred sixteen million, one hundred ninety-eight thousand, four hundred".