45292284000 has 576 divisors, whose sum is σ = 176565759552. Its totient is φ = 11363328000.

The previous prime is 45292283957. The next prime is 45292284019. The reversal of 45292284000 is 48229254.

45292284000 is a `hidden beast` number, since 4 + 5 + 29 + 228 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16522630 + ... + 16525370.

It is an arithmetic number, because the mean of its divisors is an integer number (306537777).

Almost surely, 2^45292284000 is an apocalyptic number.

45292284000 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 45292284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88282879776).

45292284000 is an abundant number, since it is smaller than the sum of its proper divisors (131273475552).

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

45292284000 is a wasteful number, since it uses less digits than its factorization.

45292284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45292284000 in words is "forty-five billion, two hundred ninety-two million, two hundred eighty-four thousand".