45240516356 has 72 divisors (see below), whose sum is σ = 97318206720. Its totient is φ = 18310900608.

The previous prime is 45240516353. The next prime is 45240516361. The reversal of 45240516356 is 65361504254.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45240516353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292616 + ... + 419648.

It is an arithmetic number, because the mean of its divisors is an integer number (1351641760).

Almost surely, 2^45240516356 is an apocalyptic number.

45240516356 is a gapful number since it is divisible by the number (46) 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 45240516356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48659103360).

45240516356 is an abundant number, since it is smaller than the sum of its proper divisors (52077690364).

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

45240516356 is a wasteful number, since it uses less digits than its factorization.

45240516356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127153 (or 127144 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 45240516356 in words is "forty-five billion, two hundred forty million, five hundred sixteen thousand, three hundred fifty-six".