96061149000 has 384 divisors, whose sum is σ = 329567846400. Its totient is φ = 25234675200.

The previous prime is 96061148947. The next prime is 96061149001. The reversal of 96061149000 is 94116069.

96061149000 is a `hidden beast` number, since 9 + 606 + 1 + 1 + 49 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (96061149001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261746817 + ... + 261747183.

It is an arithmetic number, because the mean of its divisors is an integer number (858249600).

Almost surely, 2^96061149000 is an apocalyptic number.

96061149000 is a gapful number since it is divisible by the number (90) 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 96061149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164783923200).

96061149000 is an abundant number, since it is smaller than the sum of its proper divisors (233506697400).

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

96061149000 is a wasteful number, since it uses less digits than its factorization.

96061149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 96061149000 in words is "ninety-six billion, sixty-one million, one hundred forty-nine thousand".