2245538502144 has 320 divisors, whose sum is σ = 7709917248000. Its totient is φ = 632004747264.

The previous prime is 2245538502131. The next prime is 2245538502157. The reversal of 2245538502144 is 4412058355422.

2245538502144 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 538 + 50 + 21 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (2245538502131) and next prime (2245538502157).

It is a super-2 number, since 2×2245538502144² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2245538502144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6310282 + ... + 6656630.

It is an arithmetic number, because the mean of its divisors is an integer number (24093491400).

Almost surely, 2^{2245538502144} is an apocalyptic number.

2245538502144 is a gapful number since it is divisible by the number (24) 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 2245538502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854958624000).

2245538502144 is an abundant number, since it is smaller than the sum of its proper divisors (5464378745856).

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

2245538502144 is an equidigital number, since it uses as much as digits as its factorization.

2245538502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346450 (or 346428 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 2245538502144 in words is "two trillion, two hundred forty-five billion, five hundred thirty-eight million, five hundred two thousand, one hundred forty-four".