971463084480 has 896 divisors, whose sum is σ = 4098946498560. Its totient is φ = 211945144320.

The previous prime is 971463084461. The next prime is 971463084503. The reversal of 971463084480 is 84480364179.

971463084480 is a `hidden beast` number, since 97 + 1 + 46 + 30 + 8 + 4 + 480 = 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118597185 + ... + 118605375.

Almost surely, 2^971463084480 is an apocalyptic number.

971463084480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971463084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049473249280).

971463084480 is an abundant number, since it is smaller than the sum of its proper divisors (3127483414080).

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

971463084480 is a wasteful number, since it uses less digits than its factorization.

971463084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 971463084480 in words is "nine hundred seventy-one billion, four hundred sixty-three million, eighty-four thousand, four hundred eighty".