45294460000 has 240 divisors, whose sum is σ = 119244454560. Its totient is φ = 16870400000.

The previous prime is 45294459979. The next prime is 45294460019. The reversal of 45294460000 is 6449254.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34339341 + ... + 34340659.

It is an arithmetic number, because the mean of its divisors is an integer number (496851894).

Almost surely, 2^45294460000 is an apocalyptic number.

45294460000 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 45294460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59622227280).

45294460000 is an abundant number, since it is smaller than the sum of its proper divisors (73949994560).

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

45294460000 is a wasteful number, since it uses less digits than its factorization.

45294460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 45294460000 in words is "forty-five billion, two hundred ninety-four million, four hundred sixty thousand".