48625441920 has 384 divisors, whose sum is σ = 185253868800. Its totient is φ = 11654184960.

The previous prime is 48625441903. The next prime is 48625441967. The reversal of 48625441920 is 2914452684.

It is a happy number.

48625441920 is a `hidden beast` number, since 4 + 8 + 625 + 4 + 4 + 19 + 2 + 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, 5634729 + ... + 5643351.

It is an arithmetic number, because the mean of its divisors is an integer number (482431950).

Almost surely, 2^48625441920 is an apocalyptic number.

48625441920 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 48625441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92626934400).

48625441920 is an abundant number, since it is smaller than the sum of its proper divisors (136628426880).

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

48625441920 is a wasteful number, since it uses less digits than its factorization.

48625441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

It can be divided in two parts, 48625 and 441920, that added together give a triangular number (490545 = T₉₉₀).

The spelling of 48625441920 in words is "forty-eight billion, six hundred twenty-five million, four hundred forty-one thousand, nine hundred twenty".