78214257741312 has 480 divisors, whose sum is σ = 281469589150464. Its totient is φ = 20312653824000.

The previous prime is 78214257741293. The next prime is 78214257741383. The reversal of 78214257741312 is 21314775241287.

78214257741312 is a `hidden beast` number, since 7 + 8 + 2 + 1 + 4 + 257 + 74 + 1 + 312 = 666.

It is a super-2 number, since 2×78214257741312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5109697563 + ... + 5109712869.

Almost surely, 2^{78214257741312} is an apocalyptic number.

78214257741312 is a gapful number since it is divisible by the number (72) 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 78214257741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140734794575232).

78214257741312 is an abundant number, since it is smaller than the sum of its proper divisors (203255331409152).

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

78214257741312 is a wasteful number, since it uses less digits than its factorization.

78214257741312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29750 (or 29731 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 78214257741312 in words is "seventy-eight trillion, two hundred fourteen billion, two hundred fifty-seven million, seven hundred forty-one thousand, three hundred twelve".