45268388352 has 720 divisors, whose sum is σ = 155311892736. Its totient is φ = 13138329600.

The previous prime is 45268388317. The next prime is 45268388387. The reversal of 45268388352 is 25388386254.

It is a happy number.

45268388352 is a `hidden beast` number, since 4 + 526 + 8 + 3 + 88 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (45268388317) and next prime (45268388387).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11059200) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 466684368 + ... + 466684464.

Almost surely, 2^45268388352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45268388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77655946368).

45268388352 is an abundant number, since it is smaller than the sum of its proper divisors (110043504384).

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

45268388352 is an equidigital number, since it uses as much as digits as its factorization.

45268388352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 144 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 45268388352 in words is "forty-five billion, two hundred sixty-eight million, three hundred eighty-eight thousand, three hundred fifty-two".