245152888992 has 288 divisors, whose sum is σ = 807637521600. Its totient is φ = 69713141760.

The previous prime is 245152888991. The next prime is 245152888993. The reversal of 245152888992 is 299888251542.

245152888992 is a `hidden beast` number, since 2 + 4 + 515 + 28 + 8 + 8 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (245152888991) and next prime (245152888993).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×245152888992² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245152888991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18789223 + ... + 18802265.

It is an arithmetic number, because the mean of its divisors is an integer number (2804296950).

Almost surely, 2^245152888992 is an apocalyptic number.

245152888992 is a gapful number since it is divisible by the number (22) 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 245152888992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403818760800).

245152888992 is an abundant number, since it is smaller than the sum of its proper divisors (562484632608).

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

245152888992 is a wasteful number, since it uses less digits than its factorization.

245152888992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13436 (or 13425 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 245152888992 in words is "two hundred forty-five billion, one hundred fifty-two million, eight hundred eighty-eight thousand, nine hundred ninety-two".