245018916000 has 576 divisors, whose sum is σ = 902336827392. Its totient is φ = 62899200000.

The previous prime is 245018915993. The next prime is 245018916053. The reversal of 245018916000 is 619810542.

245018916000 is a `hidden beast` number, since 2 + 4 + 501 + 8 + 91 + 60 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 268955545 + ... + 268956455.

It is an arithmetic number, because the mean of its divisors is an integer number (1566556992).

Almost surely, 2^245018916000 is an apocalyptic number.

245018916000 is a gapful number since it is divisible by the number (20) 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 245018916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451168413696).

245018916000 is an abundant number, since it is smaller than the sum of its proper divisors (657317911392).

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

245018916000 is a wasteful number, since it uses less digits than its factorization.

245018916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 245018916000 in words is "two hundred forty-five billion, eighteen million, nine hundred sixteen thousand".