48153913600 has 243 divisors, whose sum is σ = 129676627899. Its totient is φ = 17695641600.

The previous prime is 48153913553. The next prime is 48153913607. The reversal of 48153913600 is 631935184.

The square root of 48153913600 is 219440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12411742464 + 35742171136 = 111408^2 + 189056^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (48153913607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 228217495 + ... + 228217705.

Almost surely, 2^48153913600 is an apocalyptic number.

48153913600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48153913600 is the 219440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48153913600

48153913600 is an abundant number, since it is smaller than the sum of its proper divisors (81522714299).

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

48153913600 is an equidigital number, since it uses as much as digits as its factorization.

48153913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 48153913600 in words is "forty-eight billion, one hundred fifty-three million, nine hundred thirteen thousand, six hundred".