245898290453760 has 3456 divisors, whose sum is σ = 1115516191910400. Its totient is φ = 50953786490880.

The previous prime is 245898290453729. The next prime is 245898290453807. The reversal of 245898290453760 is 67354092898542.

245898290453760 is a `hidden beast` number, since 2 + 4 + 5 + 8 + 9 + 8 + 29 + 0 + 4 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69917055522 + ... + 69917059038.

It is an arithmetic number, because the mean of its divisors is an integer number (322776675900).

Almost surely, 2^{245898290453760} is an apocalyptic number.

245898290453760 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 245898290453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557758095955200).

245898290453760 is an abundant number, since it is smaller than the sum of its proper divisors (869617901456640).

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

245898290453760 is a wasteful number, since it uses less digits than its factorization.

245898290453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 245898290453760 in words is "two hundred forty-five trillion, eight hundred ninety-eight billion, two hundred ninety million, four hundred fifty-three thousand, seven hundred sixty".