1471881631662 has 256 divisors, whose sum is σ = 3754017792000. Its totient is φ = 423729792000.

The previous prime is 1471881631657. The next prime is 1471881631699. The reversal of 1471881631662 is 2661361881741.

1471881631662 is a `hidden beast` number, since 1 + 471 + 8 + 8 + 1 + 6 + 3 + 166 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 1471881631599 and 1471881631608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 645277962 + ... + 645280242.

It is an arithmetic number, because the mean of its divisors is an integer number (14664132000).

Almost surely, 2^{1471881631662} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1471881631662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877008896000).

1471881631662 is an abundant number, since it is smaller than the sum of its proper divisors (2282136160338).

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

1471881631662 is a wasteful number, since it uses less digits than its factorization.

1471881631662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2898 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 1471881631662 in words is "one trillion, four hundred seventy-one billion, eight hundred eighty-one million, six hundred thirty-one thousand, six hundred sixty-two".