149693969507328 has 1408 divisors, whose sum is σ = 473916199680000. Its totient is φ = 46620208005120.

The previous prime is 149693969507321. The next prime is 149693969507351. The reversal of 149693969507328 is 823705969396941.

149693969507328 is a `hidden beast` number, since 1 + 4 + 96 + 9 + 396 + 9 + 50 + 73 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (149693969507321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 865283060650 + ... + 865283060822.

It is an arithmetic number, because the mean of its divisors is an integer number (336588210000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅149693969507328 = 299387939014656, but 3⋅149693969507328 = 449081908521984 is not.

Almost surely, 2^{149693969507328} is an apocalyptic number.

149693969507328 is a gapful number since it is divisible by the number (18) 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 149693969507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236958099840000).

149693969507328 is an abundant number, since it is smaller than the sum of its proper divisors (324222230172672).

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

149693969507328 is a wasteful number, since it uses less digits than its factorization.

149693969507328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 81.

The spelling of 149693969507328 in words is "one hundred forty-nine trillion, six hundred ninety-three billion, nine hundred sixty-nine million, five hundred seven thousand, three hundred twenty-eight".