45361974144 has 64 divisors (see below), whose sum is σ = 120684343680. Its totient is φ = 15096614400.

The previous prime is 45361974113. The next prime is 45361974149. The reversal of 45361974144 is 44147916354.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 45361974093 and 45361974102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45361974149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148699 + ... + 335909.

It is an arithmetic number, because the mean of its divisors is an integer number (1885692870).

Almost surely, 2^45361974144 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 45361974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60342171840).

45361974144 is an abundant number, since it is smaller than the sum of its proper divisors (75322369536).

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

45361974144 is a wasteful number, since it uses less digits than its factorization.

45361974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187859 (or 187847 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 45361974144 in words is "forty-five billion, three hundred sixty-one million, nine hundred seventy-four thousand, one hundred forty-four".