245451951360 has 1728 divisors, whose sum is σ = 1151308214784. Its totient is φ = 46714060800.

The previous prime is 245451951331. The next prime is 245451951361. The reversal of 245451951360 is 63159154542.

It is a happy number.

245451951360 is a `hidden beast` number, since 2 + 4 + 54 + 519 + 51 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245451951361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 618266682 + ... + 618267078.

It is an arithmetic number, because the mean of its divisors is an integer number (666266328).

Almost surely, 2^245451951360 is an apocalyptic number.

245451951360 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 245451951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575654107392).

245451951360 is an abundant number, since it is smaller than the sum of its proper divisors (905856263424).

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

245451951360 is a wasteful number, since it uses less digits than its factorization.

245451951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 245451951360 in words is "two hundred forty-five billion, four hundred fifty-one million, nine hundred fifty-one thousand, three hundred sixty".