7148167488 has 448 divisors, whose sum is σ = 27060387840. Its totient is φ = 1795737600.

The previous prime is 7148167487. The next prime is 7148167501. The reversal of 7148167488 is 8847618417.

7148167488 is a `hidden beast` number, since 7 + 148 + 16 + 7 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7148167487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4123870 + ... + 4125602.

Almost surely, 2^7148167488 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 7148167488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530193920).

7148167488 is an abundant number, since it is smaller than the sum of its proper divisors (19912220352).

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

7148167488 is a wasteful number, since it uses less digits than its factorization.

7148167488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1787 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The square root of 7148167488 is about 84546.8360614399. The cubic root of 7148167488 is about 1926.3339256613. Note that the first 3 decimals are identical.

The spelling of 7148167488 in words is "seven billion, one hundred forty-eight million, one hundred sixty-seven thousand, four hundred eighty-eight".