245733947970912 has 288 divisors, whose sum is σ = 761445790388640. Its totient is φ = 77084748472320.

The previous prime is 245733947970851. The next prime is 245733947970937. The reversal of 245733947970912 is 219079749337542.

245733947970912 is a `hidden beast` number, since 2 + 4 + 5 + 73 + 3 + 9 + 479 + 70 + 9 + 12 = 666.

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

It is a super-2 number, since 2×245733947970912² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2586053962 + ... + 2586148982.

It is an arithmetic number, because the mean of its divisors is an integer number (2643908994405).

Almost surely, 2^{245733947970912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245733947970912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380722895194320).

245733947970912 is an abundant number, since it is smaller than the sum of its proper divisors (515711842417728).

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

245733947970912 is a wasteful number, since it uses less digits than its factorization.

245733947970912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105431 (or 105400 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 245733947970912 in words is "two hundred forty-five trillion, seven hundred thirty-three billion, nine hundred forty-seven million, nine hundred seventy thousand, nine hundred twelve".