245901511611840 has 2016 divisors, whose sum is σ = 978949189834560. Its totient is φ = 52101476646912.

The previous prime is 245901511611809. The next prime is 245901511611857. The reversal of 245901511611840 is 48116115109542.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 245901511611840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 376571992954 + ... + 376571993606.

It is an arithmetic number, because the mean of its divisors is an integer number (485589875910).

Almost surely, 2^{245901511611840} is an apocalyptic number.

245901511611840 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 245901511611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489474594917280).

245901511611840 is an abundant number, since it is smaller than the sum of its proper divisors (733047678222720).

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

245901511611840 is a wasteful number, since it uses less digits than its factorization.

245901511611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 245901511611840 in words is "two hundred forty-five trillion, nine hundred one billion, five hundred eleven million, six hundred eleven thousand, eight hundred forty".