1008465842176 has 351 divisors, whose sum is σ = 2352893033523. Its totient is φ = 431896657920.

The previous prime is 1008465842171. The next prime is 1008465842183. The reversal of 1008465842176 is 6712485648001.

The square root of 1008465842176 is 1004224.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9105739776 + 999360102400 = 95424^2 + 999680^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1008465842171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14203744221 + ... + 14203744291.

Almost surely, 2^{1008465842176} is an apocalyptic number.

1008465842176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1008465842176 is the 1004224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008465842176

1008465842176 is an abundant number, since it is smaller than the sum of its proper divisors (1344427191347).

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

1008465842176 is an frugal number, since it uses more digits than its factorization.

1008465842176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 1008465842176 in words is "one trillion, eight billion, four hundred sixty-five million, eight hundred forty-two thousand, one hundred seventy-six".