45128246153958 has 384 divisors, whose sum is σ = 112654713600000. Its totient is φ = 12930465300480.

The previous prime is 45128246153951. The next prime is 45128246153959. The reversal of 45128246153958 is 85935164282154.

45128246153958 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 8 + 2 + 4 + 615 + 3 + 9 + 5 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45128246153895 and 45128246153904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45128246153951) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43686588210 + ... + 43686589242.

It is an arithmetic number, because the mean of its divisors is an integer number (293371650000).

Almost surely, 2^{45128246153958} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45128246153958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327356800000).

45128246153958 is an abundant number, since it is smaller than the sum of its proper divisors (67526467446042).

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

45128246153958 is a wasteful number, since it uses less digits than its factorization.

45128246153958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1849 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 63.

The spelling of 45128246153958 in words is "forty-five trillion, one hundred twenty-eight billion, two hundred forty-six million, one hundred fifty-three thousand, nine hundred fifty-eight".