149351894016 has 176 divisors, whose sum is σ = 434134310400. Its totient is φ = 45371768832.

The previous prime is 149351894011. The next prime is 149351894047. The reversal of 149351894016 is 610498153941.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 149351894016.

It is not an unprimeable number, because it can be changed into a prime (149351894011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3131275 + ... + 3178613.

Almost surely, 2^149351894016 is an apocalyptic number.

149351894016 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 149351894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217067155200).

149351894016 is an abundant number, since it is smaller than the sum of its proper divisors (284782416384).

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

149351894016 is a wasteful number, since it uses less digits than its factorization.

149351894016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47454 (or 47436 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 149351894016 in words is "one hundred forty-nine billion, three hundred fifty-one million, eight hundred ninety-four thousand, sixteen".