48814036992 has 480 divisors, whose sum is σ = 168452444160. Its totient is φ = 13795246080.

The previous prime is 48814036991. The next prime is 48814037003. The reversal of 48814036992 is 29963041884.

48814036992 is a `hidden beast` number, since 488 + 1 + 40 + 36 + 9 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48814036991) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147474267 + ... + 147474597.

It is an arithmetic number, because the mean of its divisors is an integer number (350942592).

Almost surely, 2^48814036992 is an apocalyptic number.

48814036992 is a gapful number since it is divisible by the number (42) 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 48814036992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84226222080).

48814036992 is an abundant number, since it is smaller than the sum of its proper divisors (119638407168).

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

48814036992 is a wasteful number, since it uses less digits than its factorization.

48814036992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48814036992 in words is "forty-eight billion, eight hundred fourteen million, thirty-six thousand, nine hundred ninety-two".