245126006400 has 768 divisors, whose sum is σ = 926258572800. Its totient is φ = 56435097600.

The previous prime is 245126006371. The next prime is 245126006413. The reversal of 245126006400 is 4600621542.

245126006400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×245126006400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168008871 + ... + 168010329.

It is an arithmetic number, because the mean of its divisors is an integer number (1206065850).

Almost surely, 2^245126006400 is an apocalyptic number.

245126006400 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 245126006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463129286400).

245126006400 is an abundant number, since it is smaller than the sum of its proper divisors (681132566400).

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

245126006400 is a wasteful number, since it uses less digits than its factorization.

245126006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 245126006400 its reverse (4600621542), we get a palindrome (249726627942).

The spelling of 245126006400 in words is "two hundred forty-five billion, one hundred twenty-six million, six thousand, four hundred".