5414087098368 has 544 divisors, whose sum is σ = 17349354471680. Its totient is φ = 1658773831680.

The previous prime is 5414087098351. The next prime is 5414087098417. The reversal of 5414087098368 is 8638907804145.

5414087098368 is a `hidden beast` number, since 5 + 41 + 408 + 70 + 98 + 36 + 8 = 666.

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, 8580169413 + ... + 8580170043.

It is an arithmetic number, because the mean of its divisors is an integer number (31892195720).

Almost surely, 2^{5414087098368} 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 5414087098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8674677235840).

5414087098368 is an abundant number, since it is smaller than the sum of its proper divisors (11935267373312).

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

5414087098368 is an equidigital number, since it uses as much as digits as its factorization.

5414087098368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 5414087098368 in words is "five trillion, four hundred fourteen billion, eighty-seven million, ninety-eight thousand, three hundred sixty-eight".