45248505120 has 1536 divisors, whose sum is σ = 208293120000. Its totient is φ = 9217732608.

The previous prime is 45248505089. The next prime is 45248505151. The reversal of 45248505120 is 2150584254.

45248505120 is a `hidden beast` number, since 4 + 5 + 24 + 8 + 505 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (45248505089) and next prime (45248505151).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1560293266 + ... + 1560293294.

It is an arithmetic number, because the mean of its divisors is an integer number (135607500).

Almost surely, 2^45248505120 is an apocalyptic number.

45248505120 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 45248505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104146560000).

45248505120 is an abundant number, since it is smaller than the sum of its proper divisors (163044614880).

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

45248505120 is an equidigital number, since it uses as much as digits as its factorization.

45248505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 45248505120 in words is "forty-five billion, two hundred forty-eight million, five hundred five thousand, one hundred twenty".