45016144107090 has 192 divisors, whose sum is σ = 122160808399104. Its totient is φ = 10591683108864.

The previous prime is 45016144107007. The next prime is 45016144107107. The reversal of 45016144107090 is 9070144161054.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166967434 + ... + 167236826.

It is an arithmetic number, because the mean of its divisors is an integer number (636254210412).

Almost surely, 2^{45016144107090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45016144107090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61080404199552).

45016144107090 is an abundant number, since it is smaller than the sum of its proper divisors (77144664292014).

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

45016144107090 is a wasteful number, since it uses less digits than its factorization.

45016144107090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270885 (or 270872 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 45016144107090 in words is "forty-five trillion, sixteen billion, one hundred forty-four million, one hundred seven thousand, ninety".