45335147256 has 192 divisors, whose sum is σ = 154081025280. Its totient is φ = 12190901760.

The previous prime is 45335147251. The next prime is 45335147323. The reversal of 45335147256 is 65274153354.

45335147256 is a `hidden beast` number, since 4 + 5 + 3 + 351 + 47 + 256 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45335147251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133351 + ... + 329321.

It is an arithmetic number, because the mean of its divisors is an integer number (802505340).

Almost surely, 2^45335147256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45335147256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77040512640).

45335147256 is an abundant number, since it is smaller than the sum of its proper divisors (108745878024).

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

45335147256 is a wasteful number, since it uses less digits than its factorization.

45335147256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196016 (or 196000 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 45335147256 in words is "forty-five billion, three hundred thirty-five million, one hundred forty-seven thousand, two hundred fifty-six".