6245148000 has 1152 divisors, whose sum is σ = 27606458880. Its totient is φ = 1219276800.

The previous prime is 6245147969. The next prime is 6245148031. The reversal of 6245148000 is 8415426.

It is an interprime number because it is at equal distance from previous prime (6245147969) and next prime (6245148031).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145235979 + ... + 145236021.

It is an arithmetic number, because the mean of its divisors is an integer number (23963940).

Almost surely, 2^6245148000 is an apocalyptic number.

6245148000 is a gapful number since it is divisible by the number (60) 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 6245148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13803229440).

6245148000 is an abundant number, since it is smaller than the sum of its proper divisors (21361310880).

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

6245148000 is a wasteful number, since it uses less digits than its factorization.

6245148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 6245148000 is about 79026.2488037994. The cubic root of 6245148000 is about 1841.5389613634.

The spelling of 6245148000 in words is "six billion, two hundred forty-five million, one hundred forty-eight thousand".