149088612415680 has 560 divisors, whose sum is σ = 606138792247296. Its totient is φ = 34075018414080.

The previous prime is 149088612415669. The next prime is 149088612415733. The reversal of 149088612415680 is 86514216880941.

It is a happy number.

149088612415680 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 8 + 8 + 61 + 2 + 4 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5042384257 + ... + 5042413823.

Almost surely, 2^{149088612415680} is an apocalyptic number.

149088612415680 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 149088612415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303069396123648).

149088612415680 is an abundant number, since it is smaller than the sum of its proper divisors (457050179831616).

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

149088612415680 is a wasteful number, since it uses less digits than its factorization.

149088612415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57394 (or 57375 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 149088612415680 in words is "one hundred forty-nine trillion, eighty-eight billion, six hundred twelve million, four hundred fifteen thousand, six hundred eighty".