7149851904 has 216 divisors, whose sum is σ = 21282062592. Its totient is φ = 2127790080.

The previous prime is 7149851851. The next prime is 7149851911. The reversal of 7149851904 is 4091589417.

It is a super-2 number, since 2×7149851904² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4022664 + ... + 4024440.

Almost surely, 2^7149851904 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 7149851904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641031296).

7149851904 is an abundant number, since it is smaller than the sum of its proper divisors (14132210688).

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

7149851904 is a wasteful number, since it uses less digits than its factorization.

7149851904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 7149851904 is about 84556.7969118982. The cubic root of 7149851904 is about 1926.4852228461.

The spelling of 7149851904 in words is "seven billion, one hundred forty-nine million, eight hundred fifty-one thousand, nine hundred four".