149368439784960 has 1600 divisors, whose sum is σ = 619382681881920. Its totient is φ = 34001890836480.

The previous prime is 149368439784931. The next prime is 149368439785007. The reversal of 149368439784960 is 69487934863941.

149368439784960 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 68 + 4 + 397 + 84 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 149368439784960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17720774026 + ... + 17720782454.

Almost surely, 2^{149368439784960} is an apocalyptic number.

149368439784960 is a gapful number since it is divisible by the number (10) 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 149368439784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309691340940960).

149368439784960 is an abundant number, since it is smaller than the sum of its proper divisors (470014242096960).

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

149368439784960 is a wasteful number, since it uses less digits than its factorization.

149368439784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8949 (or 8924 counting only the distinct ones).

The product of its (nonzero) digits is 6772211712, while the sum is 81.

The spelling of 149368439784960 in words is "one hundred forty-nine trillion, three hundred sixty-eight billion, four hundred thirty-nine million, seven hundred eighty-four thousand, nine hundred sixty".