245051124528672 has 576 divisors, whose sum is σ = 926305521684480. Its totient is φ = 62295389452800.

The previous prime is 245051124528653. The next prime is 245051124528677. The reversal of 245051124528672 is 276825421150542.

245051124528672 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 5 + 112 + 452 + 8 + 6 + 72 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (245051124528677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16289797 + ... + 27485627.

It is an arithmetic number, because the mean of its divisors is an integer number (1608169308480).

Almost surely, 2^{245051124528672} is an apocalyptic number.

245051124528672 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 245051124528672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463152760842240).

245051124528672 is an abundant number, since it is smaller than the sum of its proper divisors (681254397155808).

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

245051124528672 is a wasteful number, since it uses less digits than its factorization.

245051124528672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195922 (or 11195901 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 245051124528672 in words is "two hundred forty-five trillion, fifty-one billion, one hundred twenty-four million, five hundred twenty-eight thousand, six hundred seventy-two".