15434100000 has 432 divisors, whose sum is σ = 59885542080. Its totient is φ = 3739200000.

The previous prime is 15434099981. The next prime is 15434100089. The reversal of 15434100000 is 143451.

It is a happy number.

It is a super-2 number, since 2×15434100000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9899221 + ... + 9900779.

It is an arithmetic number, because the mean of its divisors is an integer number (138623940).

Almost surely, 2^15434100000 is an apocalyptic number.

15434100000 is a gapful number since it is divisible by the number (10) 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 15434100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29942771040).

15434100000 is an abundant number, since it is smaller than the sum of its proper divisors (44451442080).

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

15434100000 is a wasteful number, since it uses less digits than its factorization.

15434100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 15434100000 its reverse (143451), we get a palindrome (15434243451).

The spelling of 15434100000 in words is "fifteen billion, four hundred thirty-four million, one hundred thousand".