149609938896 has 480 divisors, whose sum is σ = 497578152960. Its totient is φ = 42922978560.

The previous prime is 149609938853. The next prime is 149609938939. The reversal of 149609938896 is 698839906941.

149609938896 is a `hidden beast` number, since 1 + 4 + 9 + 609 + 9 + 3 + 8 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (149609938853) and next prime (149609938939).

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 95 ways as a sum of consecutive naturals, for example, 128640811 + ... + 128641973.

It is an arithmetic number, because the mean of its divisors is an integer number (1036621152).

Almost surely, 2^149609938896 is an apocalyptic number.

149609938896 is a gapful number since it is divisible by the number (16) 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 149609938896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248789076480).

149609938896 is an abundant number, since it is smaller than the sum of its proper divisors (347968214064).

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

149609938896 is a wasteful number, since it uses less digits than its factorization.

149609938896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 149609938896 in words is "one hundred forty-nine billion, six hundred nine million, nine hundred thirty-eight thousand, eight hundred ninety-six".