149842669616640 has 2560 divisors, whose sum is σ = 723483974062080. Its totient is φ = 28739976560640.

The previous prime is 149842669616623. The next prime is 149842669616671. The reversal of 149842669616640 is 46616966248941.

149842669616640 is a `hidden beast` number, since 1 + 4 + 9 + 84 + 266 + 96 + 166 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-3 number, since 3×149842669616640³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5604305352 + ... + 5604332088.

It is an arithmetic number, because the mean of its divisors is an integer number (282610927368).

Almost surely, 2^{149842669616640} is an apocalyptic number.

149842669616640 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 149842669616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361741987031040).

149842669616640 is an abundant number, since it is smaller than the sum of its proper divisors (573641304445440).

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

149842669616640 is an equidigital number, since it uses as much as digits as its factorization.

149842669616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26812 (or 26778 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 149842669616640 in words is "one hundred forty-nine trillion, eight hundred forty-two billion, six hundred sixty-nine million, six hundred sixteen thousand, six hundred forty".