149964074434944 has 2048 divisors, whose sum is σ = 611658517708800. Its totient is φ = 34975825920000.

The previous prime is 149964074434901. The next prime is 149964074434957. The reversal of 149964074434944 is 449434470469941.

149964074434944 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 64 + 0 + 74 + 4 + 3 + 494 + 4 = 666.

It is a super-2 number, since 2×149964074434944² (a number of 29 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9957105174 + ... + 9957120234.

It is an arithmetic number, because the mean of its divisors is an integer number (298661385600).

Almost surely, 2^{149964074434944} is an apocalyptic number.

149964074434944 is a gapful number since it is divisible by the number (14) 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 149964074434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305829258854400).

149964074434944 is an abundant number, since it is smaller than the sum of its proper divisors (461694443273856).

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

149964074434944 is a wasteful number, since it uses less digits than its factorization.

149964074434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15221 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 72.

The spelling of 149964074434944 in words is "one hundred forty-nine trillion, nine hundred sixty-four billion, seventy-four million, four hundred thirty-four thousand, nine hundred forty-four".