45481901760 has 616 divisors, whose sum is σ = 170081417520. Its totient is φ = 11569195008.

The previous prime is 45481901737. The next prime is 45481901873. The reversal of 45481901760 is 6710918454.

45481901760 is a `hidden beast` number, since 4 + 548 + 1 + 90 + 17 + 6 + 0 = 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 87 ways as a sum of consecutive naturals, for example, 547974679 + ... + 547974761.

Almost surely, 2^45481901760 is an apocalyptic number.

45481901760 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 45481901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85040708760).

45481901760 is an abundant number, since it is smaller than the sum of its proper divisors (124599515760).

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

45481901760 is an frugal number, since it uses more digits than its factorization.

45481901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 45481901760 in words is "forty-five billion, four hundred eighty-one million, nine hundred one thousand, seven hundred sixty".