1151838546030 has 512 divisors, whose sum is σ = 3587162112000. Its totient is φ = 261042186240.

The previous prime is 1151838546017. The next prime is 1151838546043. The reversal of 1151838546030 is 306458381511.

1151838546030 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 8 + 38 + 5 + 4 + 603 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1151838546017) and next prime (1151838546043).

It is a super-2 number, since 2×1151838546030² (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 181131991 + ... + 181138349.

It is an arithmetic number, because the mean of its divisors is an integer number (7006176000).

Almost surely, 2^{1151838546030} is an apocalyptic number.

1151838546030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151838546030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793581056000).

1151838546030 is an abundant number, since it is smaller than the sum of its proper divisors (2435323565970).

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

1151838546030 is a wasteful number, since it uses less digits than its factorization.

1151838546030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1151838546030 in words is "one trillion, one hundred fifty-one billion, eight hundred thirty-eight million, five hundred forty-six thousand, thirty".