149786984256 has 224 divisors, whose sum is σ = 488416884480. Its totient is φ = 39451705344.

The previous prime is 149786984251. The next prime is 149786984261. The reversal of 149786984256 is 652489687941.

It is an interprime number because it is at equal distance from previous prime (149786984251) and next prime (149786984261).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×149786984256² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149786984251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14129550 + ... + 14140146.

It is an arithmetic number, because the mean of its divisors is an integer number (2180432520).

Almost surely, 2^149786984256 is an apocalyptic number.

149786984256 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 149786984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244208442240).

149786984256 is an abundant number, since it is smaller than the sum of its proper divisors (338629900224).

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

149786984256 is a wasteful number, since it uses less digits than its factorization.

149786984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11441 (or 11431 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 69.

The spelling of 149786984256 in words is "one hundred forty-nine billion, seven hundred eighty-six million, nine hundred eighty-four thousand, two hundred fifty-six".