245114213400 has 480 divisors, whose sum is σ = 982613760480. Its totient is φ = 55468800000.

The previous prime is 245114213347. The next prime is 245114213413. The reversal of 245114213400 is 4312411542.

245114213400 is a `hidden beast` number, since 2 + 45 + 1 + 1 + 4 + 213 + 400 = 666.

It is a super-2 number, since 2×245114213400² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11442700 + ... + 11464100.

It is an arithmetic number, because the mean of its divisors is an integer number (2047112001).

Almost surely, 2^245114213400 is an apocalyptic number.

245114213400 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 245114213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491306880240).

245114213400 is an abundant number, since it is smaller than the sum of its proper divisors (737499547080).

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

245114213400 is a wasteful number, since it uses less digits than its factorization.

245114213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21537 (or 21519 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 245114213400 its reverse (4312411542), we get a palindrome (249426624942).

The spelling of 245114213400 in words is "two hundred forty-five billion, one hundred fourteen million, two hundred thirteen thousand, four hundred".