78148212480 has 864 divisors, whose sum is σ = 310299312960. Its totient is φ = 18513100800.

The previous prime is 78148212433. The next prime is 78148212503. The reversal of 78148212480 is 8421284187.

78148212480 is a `hidden beast` number, since 7 + 8 + 148 + 21 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×78148212480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 431757990 + ... + 431758170.

Almost surely, 2^78148212480 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 78148212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155149656480).

78148212480 is an abundant number, since it is smaller than the sum of its proper divisors (232151100480).

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

78148212480 is a wasteful number, since it uses less digits than its factorization.

78148212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 78148212480 in words is "seventy-eight billion, one hundred forty-eight million, two hundred twelve thousand, four hundred eighty".