45705599340 has 96 divisors (see below), whose sum is σ = 136225152000. Its totient is φ = 11416914432.

The previous prime is 45705599309. The next prime is 45705599341. The reversal of 45705599340 is 4399550754.

It is a super-3 number, since 3×45705599340³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (45705599341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123780 + ... + 326699.

It is an arithmetic number, because the mean of its divisors is an integer number (1419012000).

Almost surely, 2^45705599340 is an apocalyptic number.

It is an amenable number.

45705599340 is an abundant number, since it is smaller than the sum of its proper divisors (90519552660).

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

45705599340 is a wasteful number, since it uses less digits than its factorization.

45705599340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450599 (or 450597 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 45705599340 in words is "forty-five billion, seven hundred five million, five hundred ninety-nine thousand, three hundred forty".