48359801532672 has 432 divisors, whose sum is σ = 161245022440320. Its totient is φ = 13653412282368.

The previous prime is 48359801532667. The next prime is 48359801532673. The reversal of 48359801532672 is 27623510895384.

48359801532672 is a `hidden beast` number, since 4 + 8 + 3 + 5 + 98 + 0 + 1 + 532 + 6 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48359801532673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021539979 + ... + 1021587317.

It is an arithmetic number, because the mean of its divisors is an integer number (373252366760).

It is a 1-persistent number, because it is pandigital, but 2⋅48359801532672 = 96719603065344 is not.

Almost surely, 2^{48359801532672} is an apocalyptic number.

48359801532672 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 48359801532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80622511220160).

48359801532672 is an abundant number, since it is smaller than the sum of its proper divisors (112885220907648).

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

48359801532672 is a wasteful number, since it uses less digits than its factorization.

48359801532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48118 (or 48101 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 48359801532672 in words is "forty-eight trillion, three hundred fifty-nine billion, eight hundred one million, five hundred thirty-two thousand, six hundred seventy-two".