45242991616 has 165 divisors, whose sum is σ = 100454013331. Its totient is φ = 20365131776.

The previous prime is 45242991601. The next prime is 45242991617. The reversal of 45242991616 is 61619924254.

It is a happy number.

The square root of 45242991616 is 212704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 14041302016 + 31201689600 = 118496^2 + 176640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45242991616.

It is not an unprimeable number, because it can be changed into a prime (45242991617) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1967086581 + ... + 1967086603.

Almost surely, 2^45242991616 is an apocalyptic number.

45242991616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

45242991616 is the 212704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45242991616

45242991616 is an abundant number, since it is smaller than the sum of its proper divisors (55211021715).

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

45242991616 is an frugal number, since it uses more digits than its factorization.

45242991616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 42 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

Multiplying 45242991616 by its sum of digits (49), we get a square (2216906589184 = 1488928²).

The spelling of 45242991616 in words is "forty-five billion, two hundred forty-two million, nine hundred ninety-one thousand, six hundred sixteen".