48369190942800 has 960 divisors, whose sum is σ = 212352993538560. Its totient is φ = 10182941982720.

The previous prime is 48369190942771. The next prime is 48369190942801. The reversal of 48369190942800 is 824909196384.

48369190942800 is a `hidden beast` number, since 4 + 8 + 36 + 91 + 90 + 9 + 428 + 0 + 0 = 666.

It is a super-2 number, since 2×48369190942800² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48369190942801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 449085754 + ... + 449193446.

It is an arithmetic number, because the mean of its divisors is an integer number (221201034936).

Almost surely, 2^{48369190942800} is an apocalyptic number.

48369190942800 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 48369190942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106176496769280).

48369190942800 is an abundant number, since it is smaller than the sum of its proper divisors (163983802595760).

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

48369190942800 is a wasteful number, since it uses less digits than its factorization.

48369190942800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108197 (or 108180 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 48369190942800 in words is "forty-eight trillion, three hundred sixty-nine billion, one hundred ninety million, nine hundred forty-two thousand, eight hundred".