78401494681344 has 1152 divisors, whose sum is σ = 245759775528960. Its totient is φ = 24937325936640.

The previous prime is 78401494681331. The next prime is 78401494681351. The reversal of 78401494681344 is 44318649410487.

78401494681344 is a `hidden beast` number, since 7 + 8 + 4 + 0 + 1 + 494 + 6 + 8 + 134 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×78401494681344² (a number of 29 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 127 ways as a sum of consecutive naturals, for example, 453187830442 + ... + 453187830614.

It is an arithmetic number, because the mean of its divisors is an integer number (213333138480).

Almost surely, 2^{78401494681344} is an apocalyptic number.

78401494681344 is a gapful number since it is divisible by the number (74) 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 78401494681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122879887764480).

78401494681344 is an abundant number, since it is smaller than the sum of its proper divisors (167358280847616).

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

78401494681344 is a wasteful number, since it uses less digits than its factorization.

78401494681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 78401494681344 in words is "seventy-eight trillion, four hundred one billion, four hundred ninety-four million, six hundred eighty-one thousand, three hundred forty-four".