148638986496 has 1944 divisors, whose sum is σ = 631723153152. Its totient is φ = 34488115200.

The previous prime is 148638986491. The next prime is 148638986521. The reversal of 148638986496 is 694689836841.

148638986496 is a `hidden beast` number, since 1 + 4 + 86 + 389 + 86 + 4 + 96 = 666.

148638986496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (148638986491) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4794806001 + ... + 4794806031.

Almost surely, 2^148638986496 is an apocalyptic number.

148638986496 is a gapful number since it is divisible by the number (16) 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 148638986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315861576576).

148638986496 is an abundant number, since it is smaller than the sum of its proper divisors (483084166656).

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

148638986496 is a wasteful number, since it uses less digits than its factorization.

148638986496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 67 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 148638986496 in words is "one hundred forty-eight billion, six hundred thirty-eight million, nine hundred eighty-six thousand, four hundred ninety-six".