45112711721154 has 192 divisors, whose sum is σ = 116486243328000. Its totient is φ = 11633279343840.

The previous prime is 45112711721131. The next prime is 45112711721159.

45112711721154 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45112711721159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33961839 + ... + 35265165.

It is an arithmetic number, because the mean of its divisors is an integer number (606699184000).

Almost surely, 2^{45112711721154} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45112711721154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58243121664000).

45112711721154 is an abundant number, since it is smaller than the sum of its proper divisors (71373531606846).

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

45112711721154 is a wasteful number, since it uses less digits than its factorization.

45112711721154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303514 (or 1303489 counting only the distinct ones).

The product of its digits is 78400, while the sum is 42.

The spelling of 45112711721154 in words is "forty-five trillion, one hundred twelve billion, seven hundred eleven million, seven hundred twenty-one thousand, one hundred fifty-four".