45341337600 has 1080 divisors, whose sum is σ = 187304046930. Its totient is φ = 10776084480.

The previous prime is 45341337577. The next prime is 45341337631. The reversal of 45341337600 is 673314354.

45341337600 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 13 + 37 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 288728064 + 45052609536 = 16992^2 + 212256^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1563494386 + ... + 1563494414.

Almost surely, 2^45341337600 is an apocalyptic number.

45341337600 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 45341337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93652023465).

45341337600 is an abundant number, since it is smaller than the sum of its proper divisors (141962709330).

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

45341337600 is a wasteful number, since it uses less digits than its factorization.

45341337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 45341337600 in words is "forty-five billion, three hundred forty-one million, three hundred thirty-seven thousand, six hundred".