45311434314144 has 96 divisors (see below), whose sum is σ = 123306322374144. Its totient is φ = 14553859338240.

The previous prime is 45311434314079. The next prime is 45311434314151. The reversal of 45311434314144 is 44141343411354.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 45311434314096 and 45311434314105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31979589 + ... + 33366404.

It is an arithmetic number, because the mean of its divisors is an integer number (1284440858064).

Almost surely, 2^{45311434314144} is an apocalyptic number.

It is an amenable number.

45311434314144 is an abundant number, since it is smaller than the sum of its proper divisors (77994888060000).

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

45311434314144 is a wasteful number, since it uses less digits than its factorization.

45311434314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65346270 (or 65346262 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

Adding to 45311434314144 its reverse (44141343411354), we get a palindrome (89452777725498).

The spelling of 45311434314144 in words is "forty-five trillion, three hundred eleven billion, four hundred thirty-four million, three hundred fourteen thousand, one hundred forty-four".