5154041114046 has 96 divisors (see below), whose sum is σ = 12286916149248. Its totient is φ = 1548433091520.

The previous prime is 5154041114023. The next prime is 5154041114069. The reversal of 5154041114046 is 6404111404515.

5154041114046 is a `hidden beast` number, since 51 + 54 + 0 + 411 + 140 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5154041114023) and next prime (5154041114069).

It is a self number, because there is not a number n which added to its sum of digits gives 5154041114046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35710740 + ... + 35854776.

It is an arithmetic number, because the mean of its divisors is an integer number (127988709888).

Almost surely, 2^{5154041114046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5154041114046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143458074624).

5154041114046 is an abundant number, since it is smaller than the sum of its proper divisors (7132875035202).

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

5154041114046 is a wasteful number, since it uses less digits than its factorization.

5154041114046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145606 (or 145603 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 5154041114046 in words is "five trillion, one hundred fifty-four billion, forty-one million, one hundred fourteen thousand, forty-six".