78148408203162 has 480 divisors, whose sum is σ = 203914610887680. Its totient is φ = 22167559370880.

The previous prime is 78148408203149. The next prime is 78148408203167. The reversal of 78148408203162 is 26130280484187.

78148408203162 is a `hidden beast` number, since 7 + 8 + 14 + 8 + 408 + 203 + 16 + 2 = 666.

It is a super-2 number, since 2×78148408203162² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78148408203099 and 78148408203108.

It is not an unprimeable number, because it can be changed into a prime (78148408203167) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7028361039 + ... + 7028372157.

It is an arithmetic number, because the mean of its divisors is an integer number (424822106016).

Almost surely, 2^{78148408203162} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78148408203162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101957305443840).

78148408203162 is an abundant number, since it is smaller than the sum of its proper divisors (125766202684518).

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

78148408203162 is a wasteful number, since it uses less digits than its factorization.

78148408203162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11328 (or 11282 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 78148408203162 in words is "seventy-eight trillion, one hundred forty-eight billion, four hundred eight million, two hundred three thousand, one hundred sixty-two".