245391011157600 has 6912 divisors, whose sum is σ = 1205158224936960. Its totient is φ = 47079014400000.

The previous prime is 245391011157581. The next prime is 245391011157629. The reversal of 245391011157600 is 6751110193542.

245391011157600 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 9 + 10 + 11 + 15 + 7 + 600 = 666.

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 1151 ways as a sum of consecutive naturals, for example, 1418445151114 + ... + 1418445151286.

It is an arithmetic number, because the mean of its divisors is an integer number (174357382080).

Almost surely, 2^{245391011157600} is an apocalyptic number.

245391011157600 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 245391011157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602579112468480).

245391011157600 is an abundant number, since it is smaller than the sum of its proper divisors (959767213779360).

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

245391011157600 is a wasteful number, since it uses less digits than its factorization.

245391011157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 245391011157600 in words is "two hundred forty-five trillion, three hundred ninety-one billion, eleven million, one hundred fifty-seven thousand, six hundred".