6226002462456 has 288 divisors, whose sum is σ = 20799907820640. Its totient is φ = 1671720615936.

The previous prime is 6226002462431. The next prime is 6226002462469. The reversal of 6226002462456 is 6542642006226.

6226002462456 is a `hidden beast` number, since 62 + 2 + 60 + 0 + 24 + 62 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40286725 + ... + 40440971.

It is an arithmetic number, because the mean of its divisors is an integer number (72221902155).

Almost surely, 2^{6226002462456} 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 6226002462456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399953910320).

6226002462456 is an abundant number, since it is smaller than the sum of its proper divisors (14573905358184).

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

6226002462456 is a wasteful number, since it uses less digits than its factorization.

6226002462456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154963 (or 154949 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 6226002462456 in words is "six trillion, two hundred twenty-six billion, two million, four hundred sixty-two thousand, four hundred fifty-six".