45158658048 has 312 divisors, whose sum is σ = 150268809600. Its totient is φ = 12799475712.

The previous prime is 45158658047. The next prime is 45158658053. The reversal of 45158658048 is 84085685154.

45158658048 is a `hidden beast` number, since 4 + 5 + 1 + 58 + 6 + 580 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45158657985 and 45158658003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45158658047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35868043 + ... + 35869301.

It is an arithmetic number, because the mean of its divisors is an integer number (481630800).

Almost surely, 2^45158658048 is an apocalyptic number.

45158658048 is a gapful number since it is divisible by the number (48) 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 45158658048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75134404800).

45158658048 is an abundant number, since it is smaller than the sum of its proper divisors (105110151552).

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

45158658048 is a wasteful number, since it uses less digits than its factorization.

45158658048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 45158658048 in words is "forty-five billion, one hundred fifty-eight million, six hundred fifty-eight thousand, forty-eight".