245204045713440 has 2304 divisors, whose sum is σ = 1002524500131840. Its totient is φ = 55851586560000.

The previous prime is 245204045713427. The next prime is 245204045713463. The reversal of 245204045713440 is 44317540402542.

245204045713440 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 0 + 4 + 0 + 4 + 571 + 34 + 40 = 666.

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

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, 77083948650 + ... + 77083951830.

It is an arithmetic number, because the mean of its divisors is an integer number (435123480960).

Almost surely, 2^{245204045713440} is an apocalyptic number.

245204045713440 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 245204045713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501262250065920).

245204045713440 is an abundant number, since it is smaller than the sum of its proper divisors (757320454418400).

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

245204045713440 is a wasteful number, since it uses less digits than its factorization.

245204045713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 245204045713440 in words is "two hundred forty-five trillion, two hundred four billion, forty-five million, seven hundred thirteen thousand, four hundred forty".