7146117150480 has 2880 divisors, whose sum is σ = 32584977285120. Its totient is φ = 1385795174400.

The previous prime is 7146117150379. The next prime is 7146117150499. The reversal of 7146117150480 is 840517116417.

7146117150480 is a `hidden beast` number, since 7 + 1 + 4 + 6 + 1 + 17 + 150 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 69379778109 + ... + 69379778211.

It is an arithmetic number, because the mean of its divisors is an integer number (11314228224).

Almost surely, 2^{7146117150480} is an apocalyptic number.

7146117150480 is a gapful number since it is divisible by the number (70) 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 7146117150480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292488642560).

7146117150480 is an abundant number, since it is smaller than the sum of its proper divisors (25438860134640).

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

7146117150480 is a wasteful number, since it uses less digits than its factorization.

7146117150480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 7146117150480 in words is "seven trillion, one hundred forty-six billion, one hundred seventeen million, one hundred fifty thousand, four hundred eighty".