45114404004 has 96 divisors (see below), whose sum is σ = 123190704000. Its totient is φ = 14238384768.

The previous prime is 45114403993. The next prime is 45114404009. The reversal of 45114404004 is 40040441154.

It is a super-2 number, since 2×45114404004² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45114404009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4207402 + ... + 4218110.

It is an arithmetic number, because the mean of its divisors is an integer number (1283236500).

Almost surely, 2^45114404004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45114404004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61595352000).

45114404004 is an abundant number, since it is smaller than the sum of its proper divisors (78076299996).

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

45114404004 is a wasteful number, since it uses less digits than its factorization.

45114404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12794 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 45114404004 its reverse (40040441154), we get a palindrome (85154845158).

The spelling of 45114404004 in words is "forty-five billion, one hundred fourteen million, four hundred four thousand, four".