5614719326496 has 288 divisors, whose sum is σ = 19053258799680. Its totient is φ = 1603926116352.

The previous prime is 5614719326449. The next prime is 5614719326527. The reversal of 5614719326496 is 6946239174165.

It is a happy number.

5614719326496 is a `hidden beast` number, since 5 + 61 + 47 + 19 + 32 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 451591896 + ... + 451604328.

It is an arithmetic number, because the mean of its divisors is an integer number (66157148610).

Almost surely, 2^{5614719326496} is an apocalyptic number.

5614719326496 is a gapful number since it is divisible by the number (56) 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 5614719326496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9526629399840).

5614719326496 is an abundant number, since it is smaller than the sum of its proper divisors (13438539473184).

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

5614719326496 is a wasteful number, since it uses less digits than its factorization.

5614719326496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23133 (or 23112 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 5614719326496 in words is "five trillion, six hundred fourteen billion, seven hundred nineteen million, three hundred twenty-six thousand, four hundred ninety-six".