45493749401256 has 320 divisors, whose sum is σ = 144489915662400. Its totient is φ = 13257576364032.

The previous prime is 45493749401227. The next prime is 45493749401267. The reversal of 45493749401256 is 65210494739454.

45493749401256 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 374 + 9 + 4 + 0 + 1 + 256 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45493749401193 and 45493749401202.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 591688591 + ... + 591765473.

It is an arithmetic number, because the mean of its divisors is an integer number (451530986445).

Almost surely, 2^{45493749401256} 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 45493749401256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72244957831200).

45493749401256 is an abundant number, since it is smaller than the sum of its proper divisors (98996166261144).

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

45493749401256 is a wasteful number, since it uses less digits than its factorization.

45493749401256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80630 (or 80617 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 45493749401256 in words is "forty-five trillion, four hundred ninety-three billion, seven hundred forty-nine million, four hundred one thousand, two hundred fifty-six".