1364618133450 has 480 divisors, whose sum is σ = 4466958471360. Its totient is φ = 304514380800.

The previous prime is 1364618133391. The next prime is 1364618133467. The reversal of 1364618133450 is 543318164631.

1364618133450 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 61 + 8 + 133 + 450 = 666.

It is a super-3 number, since 3×1364618133450³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1364618133396 and 1364618133405.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 219494742 + ... + 219500958.

It is an arithmetic number, because the mean of its divisors is an integer number (9306163482).

Almost surely, 2^{1364618133450} is an apocalyptic number.

1364618133450 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 1364618133450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233479235680).

1364618133450 is an abundant number, since it is smaller than the sum of its proper divisors (3102340337910).

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

1364618133450 is a wasteful number, since it uses less digits than its factorization.

1364618133450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1364618133450 in words is "one trillion, three hundred sixty-four billion, six hundred eighteen million, one hundred thirty-three thousand, four hundred fifty".