48151908000 has 1008 divisors, whose sum is σ = 206955449064. Its totient is φ = 10973491200.

The previous prime is 48151907989. The next prime is 48151908023. The reversal of 48151908000 is 80915184.

It can be written as a sum of positive squares in 4 ways, for example, as 9218304144 + 38933603856 = 96012^2 + 197316^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 142883832 + ... + 142884168.

Almost surely, 2^48151908000 is an apocalyptic number.

48151908000 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 48151908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103477724532).

48151908000 is an abundant number, since it is smaller than the sum of its proper divisors (158803541064).

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

48151908000 is an equidigital number, since it uses as much as digits as its factorization.

48151908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 48151908000 in words is "forty-eight billion, one hundred fifty-one million, nine hundred eight thousand".