149695986134016 has 396 divisors, whose sum is σ = 506017224661728. Its totient is φ = 42497839448064.

The previous prime is 149695986134011. The next prime is 149695986134029. The reversal of 149695986134016 is 610431689596941.

149695986134016 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 9 + 598 + 6 + 13 + 4 + 0 + 16 = 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 (149695986134011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69842985 + ... + 71954391.

Almost surely, 2^{149695986134016} is an apocalyptic number.

149695986134016 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 149695986134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253008612330864).

149695986134016 is an abundant number, since it is smaller than the sum of its proper divisors (356321238527712).

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

149695986134016 is a wasteful number, since it uses less digits than its factorization.

149695986134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111604 (or 2111576 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 149695986134016 in words is "one hundred forty-nine trillion, six hundred ninety-five billion, nine hundred eighty-six million, one hundred thirty-four thousand, sixteen".