45511556640 has 192 divisors, whose sum is σ = 158598300672. Its totient is φ = 10877619200.

The previous prime is 45511556621. The next prime is 45511556641. The reversal of 45511556640 is 4665511554.

It is a junction number, because it is equal to n+sod(n) for n = 45511556592 and 45511556601.

It is not an unprimeable number, because it can be changed into a prime (45511556641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314179 + ... + 435581.

It is an arithmetic number, because the mean of its divisors is an integer number (826032816).

Almost surely, 2^45511556640 is an apocalyptic number.

45511556640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45511556640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79299150336).

45511556640 is an abundant number, since it is smaller than the sum of its proper divisors (113086744032).

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

45511556640 is a wasteful number, since it uses less digits than its factorization.

45511556640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121503 (or 121495 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 45511556640 in words is "forty-five billion, five hundred eleven million, five hundred fifty-six thousand, six hundred forty".