78152545311456 has 384 divisors, whose sum is σ = 267238204563456. Its totient is φ = 19391630100480.

The previous prime is 78152545311371. The next prime is 78152545311487. The reversal of 78152545311456 is 65411354525187.

It is a super-2 number, since 2×78152545311456² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78152545311396 and 78152545311405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131125035 + ... + 131719701.

It is an arithmetic number, because the mean of its divisors is an integer number (695932824384).

Almost surely, 2^{78152545311456} 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 78152545311456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133619102281728).

78152545311456 is an abundant number, since it is smaller than the sum of its proper divisors (189085659252000).

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

78152545311456 is a wasteful number, since it uses less digits than its factorization.

78152545311456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595494 (or 595486 counting only the distinct ones).

The product of its digits is 20160000, while the sum is 57.

The spelling of 78152545311456 in words is "seventy-eight trillion, one hundred fifty-two billion, five hundred forty-five million, three hundred eleven thousand, four hundred fifty-six".