78346100448 has 1152 divisors, whose sum is σ = 313841848320. Its totient is φ = 18602680320.

The previous prime is 78346100387. The next prime is 78346100467. The reversal of 78346100448 is 84400164387.

78346100448 is a `hidden beast` number, since 78 + 34 + 6 + 100 + 448 = 666.

It is a super-2 number, since 2×78346100448² (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 437687623 + ... + 437687801.

It is an arithmetic number, because the mean of its divisors is an integer number (272432160).

Almost surely, 2^78346100448 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 78346100448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156920924160).

78346100448 is an abundant number, since it is smaller than the sum of its proper divisors (235495747872).

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

78346100448 is a wasteful number, since it uses less digits than its factorization.

78346100448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 78346100448 in words is "seventy-eight billion, three hundred forty-six million, one hundred thousand, four hundred forty-eight".