149456937456 has 200 divisors, whose sum is σ = 448430249520. Its totient is φ = 48017857536.

The previous prime is 149456937449. The next prime is 149456937473. The reversal of 149456937456 is 654739654941.

It is a happy number.

149456937456 is a `hidden beast` number, since 1 + 4 + 94 + 5 + 6 + 93 + 7 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 149456937393 and 149456937402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5116300 + ... + 5145428.

Almost surely, 2^149456937456 is an apocalyptic number.

149456937456 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 149456937456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224215124760).

149456937456 is an abundant number, since it is smaller than the sum of its proper divisors (298973312064).

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

149456937456 is a wasteful number, since it uses less digits than its factorization.

149456937456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29293 (or 29278 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 149456937456 in words is "one hundred forty-nine billion, four hundred fifty-six million, nine hundred thirty-seven thousand, four hundred fifty-six".