148179917900448 has 1152 divisors, whose sum is σ = 546791928883200. Its totient is φ = 38794802909184.

The previous prime is 148179917900447. The next prime is 148179917900459. The reversal of 148179917900448 is 844009719971841.

148179917900448 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 7 + 9 + 9 + 179 + 0 + 0 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (148179917900447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3562595940 + ... + 3562637532.

It is an arithmetic number, because the mean of its divisors is an integer number (474645771600).

Almost surely, 2^{148179917900448} is an apocalyptic number.

148179917900448 is a gapful number since it is divisible by the number (18) 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 148179917900448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273395964441600).

148179917900448 is an abundant number, since it is smaller than the sum of its proper divisors (398612010982752).

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

148179917900448 is a wasteful number, since it uses less digits than its factorization.

148179917900448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41791 (or 41770 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 148179917900448 in words is "one hundred forty-eight trillion, one hundred seventy-nine billion, nine hundred seventeen million, nine hundred thousand, four hundred forty-eight".