149714654648832 has 5120 divisors, whose sum is σ = 627740088729600. Its totient is φ = 34131947028480.

The previous prime is 149714654648831. The next prime is 149714654648939. The reversal of 149714654648832 is 238846456417941.

149714654648832 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 1 + 4 + 6 + 546 + 48 + 8 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (149714654648831) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 1178855548353 + ... + 1178855548479.

It is an arithmetic number, because the mean of its divisors is an integer number (122605486080).

Almost surely, 2^{149714654648832} is an apocalyptic number.

149714654648832 is a gapful number since it is divisible by the number (12) 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 149714654648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313870044364800).

149714654648832 is an abundant number, since it is smaller than the sum of its proper divisors (478025434080768).

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

149714654648832 is a wasteful number, since it uses less digits than its factorization.

149714654648832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 149714654648832 in words is "one hundred forty-nine trillion, seven hundred fourteen billion, six hundred fifty-four million, six hundred forty-eight thousand, eight hundred thirty-two".