245437166520 has 384 divisors, whose sum is σ = 986429283840. Its totient is φ = 51537669120.

The previous prime is 245437166467. The next prime is 245437166551. The reversal of 245437166520 is 25661734542.

245437166520 is a `hidden beast` number, since 2 + 4 + 5 + 437 + 166 + 52 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6894607 + ... + 6930113.

It is an arithmetic number, because the mean of its divisors is an integer number (2568826260).

Almost surely, 2^245437166520 is an apocalyptic number.

245437166520 is a gapful number since it is divisible by the number (20) 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 245437166520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493214641920).

245437166520 is an abundant number, since it is smaller than the sum of its proper divisors (740992117320).

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

245437166520 is a wasteful number, since it uses less digits than its factorization.

245437166520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35755 (or 35748 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 245437166520 in words is "two hundred forty-five billion, four hundred thirty-seven million, one hundred sixty-six thousand, five hundred twenty".