149830072261632 has 2112 divisors, whose sum is σ = 566618613350400. Its totient is φ = 38844904734720.

The previous prime is 149830072261603. The next prime is 149830072261679. The reversal of 149830072261632 is 236162270038941.

149830072261632 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 300 + 72 + 261 + 6 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82188738673 + ... + 82188740495.

Almost surely, 2^{149830072261632} is an apocalyptic number.

149830072261632 is a gapful number since it is divisible by the number (12) 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 149830072261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283309306675200).

149830072261632 is an abundant number, since it is smaller than the sum of its proper divisors (416788541088768).

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

149830072261632 is a wasteful number, since it uses less digits than its factorization.

149830072261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 149830072261632 in words is "one hundred forty-nine trillion, eight hundred thirty billion, seventy-two million, two hundred sixty-one thousand, six hundred thirty-two".