245777672448 has 864 divisors, whose sum is σ = 942204856320. Its totient is φ = 59651850240.

The previous prime is 245777672429. The next prime is 245777672471. The reversal of 245777672448 is 844276777542.

245777672448 is a `hidden beast` number, since 2 + 4 + 57 + 7 + 76 + 72 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 684617293 + ... + 684617651.

It is an arithmetic number, because the mean of its divisors is an integer number (1090514880).

Almost surely, 2^245777672448 is an apocalyptic number.

245777672448 is a gapful number since it is divisible by the number (28) 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 245777672448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471102428160).

245777672448 is an abundant number, since it is smaller than the sum of its proper divisors (696427183872).

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

245777672448 is a wasteful number, since it uses less digits than its factorization.

245777672448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its digits is 147517440, while the sum is 63.

The spelling of 245777672448 in words is "two hundred forty-five billion, seven hundred seventy-seven million, six hundred seventy-two thousand, four hundred forty-eight".