2044154514402 has 384 divisors, whose sum is σ = 6054653509632. Its totient is φ = 485295338880.

The previous prime is 2044154514373. The next prime is 2044154514419.

2044154514402 is a `hidden beast` number, since 20 + 4 + 41 + 545 + 14 + 40 + 2 = 666.

2044154514402 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224553783 + ... + 224562885.

It is an arithmetic number, because the mean of its divisors is an integer number (15767326848).

Almost surely, 2^{2044154514402} is an apocalyptic number.

2044154514402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044154514402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027326754816).

2044154514402 is an abundant number, since it is smaller than the sum of its proper divisors (4010498995230).

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

2044154514402 is a wasteful number, since it uses less digits than its factorization.

2044154514402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 2044154514402 in words is "two trillion, forty-four billion, one hundred fifty-four million, five hundred fourteen thousand, four hundred two".