45483742080 has 1280 divisors, whose sum is σ = 201220018560. Its totient is φ = 9555148800.

The previous prime is 45483742039. The next prime is 45483742093. The reversal of 45483742080 is 8024738454.

It is a happy number.

45483742080 is a `hidden beast` number, since 4 + 5 + 483 + 74 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 450334030 + ... + 450334130.

Almost surely, 2^45483742080 is an apocalyptic number.

45483742080 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 45483742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100610009280).

45483742080 is an abundant number, since it is smaller than the sum of its proper divisors (155736276480).

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

45483742080 is a wasteful number, since it uses less digits than its factorization.

45483742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 45483742080 in words is "forty-five billion, four hundred eighty-three million, seven hundred forty-two thousand, eighty".