245690032896 has 576 divisors, whose sum is σ = 924411264000. Its totient is φ = 63808819200.

The previous prime is 245690032879. The next prime is 245690032901. The reversal of 245690032896 is 698230096542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26074266 + ... + 26083686.

Almost surely, 2^245690032896 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 245690032896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462205632000).

245690032896 is an abundant number, since it is smaller than the sum of its proper divisors (678721231104).

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

245690032896 is an equidigital number, since it uses as much as digits as its factorization.

245690032896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

It can be divided in two parts, 2456900 and 32896, that added together give a triangular number (2489796 = T₂₂₃₁).

The spelling of 245690032896 in words is "two hundred forty-five billion, six hundred ninety million, thirty-two thousand, eight hundred ninety-six".