11546046342000 has 560 divisors, whose sum is σ = 41888495750400. Its totient is φ = 3076729920000.

The previous prime is 11546046341989. The next prime is 11546046342007. The reversal of 11546046342000 is 24364064511.

11546046342000 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 604 + 6 + 3 + 42 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×11546046342000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11546046342007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3497740350 + ... + 3497743650.

Almost surely, 2^{11546046342000} is an apocalyptic number.

11546046342000 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 11546046342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20944247875200).

11546046342000 is an abundant number, since it is smaller than the sum of its proper divisors (30342449408400).

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

11546046342000 is an equidigital number, since it uses as much as digits as its factorization.

11546046342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 11546046342000 in words is "eleven trillion, five hundred forty-six billion, forty-six million, three hundred forty-two thousand".