814216470621680 has 80 divisors (see below), whose sum is σ = 2163795110392320. Its totient is φ = 279120496486656.

The previous prime is 814216470621677. The next prime is 814216470621683. The reversal of 814216470621680 is 86126074612418.

It is an interprime number because it is at equal distance from previous prime (814216470621677) and next prime (814216470621683).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×814216470621680² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814216470621683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98730914 + ... + 106659393.

It is an arithmetic number, because the mean of its divisors is an integer number (27047438879904).

Almost surely, 2^{814216470621680} is an apocalyptic number.

814216470621680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

814216470621680 is an abundant number, since it is smaller than the sum of its proper divisors (1349578639770640).

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

814216470621680 is a wasteful number, since it uses less digits than its factorization.

814216470621680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205397406 (or 205397400 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 56.

The spelling of 814216470621680 in words is "eight hundred fourteen trillion, two hundred sixteen billion, four hundred seventy million, six hundred twenty-one thousand, six hundred eighty".