2045361557376 has 384 divisors, whose sum is σ = 6400240479360. Its totient is φ = 624508600320.

The previous prime is 2045361557299. The next prime is 2045361557381. The reversal of 2045361557376 is 6737551635402.

2045361557376 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 3 + 61 + 5 + 573 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2045361557376² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166594950 + ... + 166607226.

It is an arithmetic number, because the mean of its divisors is an integer number (16667292915).

Almost surely, 2^{2045361557376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045361557376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200120239680).

2045361557376 is an abundant number, since it is smaller than the sum of its proper divisors (4354878921984).

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

2045361557376 is a wasteful number, since it uses less digits than its factorization.

2045361557376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12542 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 2045361557376 in words is "two trillion, forty-five billion, three hundred sixty-one million, five hundred fifty-seven thousand, three hundred seventy-six".