245093890493952 has 320 divisors, whose sum is σ = 742440156860160. Its totient is φ = 79790138007552.

The previous prime is 245093890493927. The next prime is 245093890494059. The reversal of 245093890493952 is 259394098390542.

It is a happy number.

245093890493952 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 9 + 3 + 89 + 0 + 493 + 9 + 52 = 666.

245093890493952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×245093890493952² (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 31 ways as a sum of consecutive naturals, for example, 11387523063 + ... + 11387544585.

It is an arithmetic number, because the mean of its divisors is an integer number (2320125490188).

Almost surely, 2^{245093890493952} 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 245093890493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371220078430080).

245093890493952 is an abundant number, since it is smaller than the sum of its proper divisors (497346266366208).

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

245093890493952 is a wasteful number, since it uses less digits than its factorization.

245093890493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40750 (or 40728 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 245093890493952 in words is "two hundred forty-five trillion, ninety-three billion, eight hundred ninety million, four hundred ninety-three thousand, nine hundred fifty-two".