4916812289004 has 384 divisors, whose sum is σ = 16788504821760. Its totient is φ = 1221564421440.

The previous prime is 4916812289003. The next prime is 4916812289009. The reversal of 4916812289004 is 4009822186194.

It is a happy number.

4916812289004 is a `hidden beast` number, since 491 + 68 + 1 + 2 + 2 + 8 + 90 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4916812289003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15334027 + ... + 15651389.

It is an arithmetic number, because the mean of its divisors is an integer number (43720064640).

Almost surely, 2^{4916812289004} is an apocalyptic number.

4916812289004 is a gapful number since it is divisible by the number (44) 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 4916812289004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394252410880).

4916812289004 is an abundant number, since it is smaller than the sum of its proper divisors (11871692532756).

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

4916812289004 is a wasteful number, since it uses less digits than its factorization.

4916812289004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317429 (or 317409 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 4916812289004 in words is "four trillion, nine hundred sixteen billion, eight hundred twelve million, two hundred eighty-nine thousand, four".