45614819250 has 1024 divisors, whose sum is σ = 174910095360. Its totient is φ = 8491392000.

The previous prime is 45614819231. The next prime is 45614819279. The reversal of 45614819250 is 5291841654.

45614819250 is a `hidden beast` number, since 4 + 5 + 614 + 8 + 1 + 9 + 25 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 45614819196 and 45614819205.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 290540172 + ... + 290540328.

It is an arithmetic number, because the mean of its divisors is an integer number (170810640).

Almost surely, 2^45614819250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45614819250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87455047680).

45614819250 is an abundant number, since it is smaller than the sum of its proper divisors (129295276110).

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

45614819250 is a wasteful number, since it uses less digits than its factorization.

45614819250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 45614819250 in words is "forty-five billion, six hundred fourteen million, eight hundred nineteen thousand, two hundred fifty".