45458693280 has 1728 divisors, whose sum is σ = 217840057344. Its totient is φ = 8393932800.

The previous prime is 45458693279. The next prime is 45458693281. The reversal of 45458693280 is 8239685454.

45458693280 is a `hidden beast` number, since 4 + 54 + 586 + 9 + 3 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45458693279) and next prime (45458693281).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45458693281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 745224450 + ... + 745224510.

It is an arithmetic number, because the mean of its divisors is an integer number (126064848).

Almost surely, 2^45458693280 is an apocalyptic number.

45458693280 is a gapful number since it is divisible by the number (40) 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 45458693280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108920028672).

45458693280 is an abundant number, since it is smaller than the sum of its proper divisors (172381364064).

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

45458693280 is a wasteful number, since it uses less digits than its factorization.

45458693280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 45458693280 in words is "forty-five billion, four hundred fifty-eight million, six hundred ninety-three thousand, two hundred eighty".