11016461400 has 192 divisors, whose sum is σ = 40085172480. Its totient is φ = 2449958400.

The previous prime is 11016461359. The next prime is 11016461447. The reversal of 11016461400 is 416461011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119955 + ... + 190845.

It is an arithmetic number, because the mean of its divisors is an integer number (208776940).

Almost surely, 2^11016461400 is an apocalyptic number.

11016461400 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 11016461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042586240).

11016461400 is an abundant number, since it is smaller than the sum of its proper divisors (29068711080).

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

11016461400 is a wasteful number, since it uses less digits than its factorization.

11016461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70954 (or 70945 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 11016461400 in words is "eleven billion, sixteen million, four hundred sixty-one thousand, four hundred".