149850632448 has 720 divisors, whose sum is σ = 521398563840. Its totient is φ = 42326323200.

The previous prime is 149850632443. The next prime is 149850632483. The reversal of 149850632448 is 844236058941.

149850632448 is a `hidden beast` number, since 1 + 4 + 98 + 50 + 63 + 2 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 149850632394 and 149850632403.

It is not an unprimeable number, because it can be changed into a prime (149850632443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 307701261 + ... + 307701747.

It is an arithmetic number, because the mean of its divisors is an integer number (724164672).

Almost surely, 2^149850632448 is an apocalyptic number.

149850632448 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 149850632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260699281920).

149850632448 is an abundant number, since it is smaller than the sum of its proper divisors (371547931392).

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

149850632448 is a wasteful number, since it uses less digits than its factorization.

149850632448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 149850632448 in words is "one hundred forty-nine billion, eight hundred fifty million, six hundred thirty-two thousand, four hundred forty-eight".