7098148834920 has 1152 divisors, whose sum is σ = 29009554928640. Its totient is φ = 1486903541760.

The previous prime is 7098148834879. The next prime is 7098148834921. The reversal of 7098148834920 is 294388418907.

7098148834920 is a `hidden beast` number, since 7 + 0 + 98 + 1 + 488 + 3 + 49 + 20 = 666.

It is a super-2 number, since 2×7098148834920² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7098148834921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2241283177 + ... + 2241286343.

It is an arithmetic number, because the mean of its divisors is an integer number (25181905320).

Almost surely, 2^{7098148834920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7098148834920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504777464320).

7098148834920 is an abundant number, since it is smaller than the sum of its proper divisors (21911406093720).

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

7098148834920 is a wasteful number, since it uses less digits than its factorization.

7098148834920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 7098148834920 in words is "seven trillion, ninety-eight billion, one hundred forty-eight million, eight hundred thirty-four thousand, nine hundred twenty".