4834680822972 has 288 divisors, whose sum is σ = 16553836615680. Its totient is φ = 1148905175040.

The previous prime is 4834680822919. The next prime is 4834680822973. The reversal of 4834680822972 is 2792280864384.

4834680822972 is a `hidden beast` number, since 4 + 8 + 3 + 468 + 0 + 82 + 2 + 97 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4834680822973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3478429 + ... + 4665707.

It is an arithmetic number, because the mean of its divisors is an integer number (57478599360).

Almost surely, 2^{4834680822972} is an apocalyptic number.

4834680822972 is a gapful number since it is divisible by the number (42) 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 4834680822972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276918307840).

4834680822972 is an abundant number, since it is smaller than the sum of its proper divisors (11719155792708).

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

4834680822972 is a wasteful number, since it uses less digits than its factorization.

4834680822972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187433 (or 1187428 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 4834680822972 in words is "four trillion, eight hundred thirty-four billion, six hundred eighty million, eight hundred twenty-two thousand, nine hundred seventy-two".