541001363364 has 192 divisors, whose sum is σ = 1791343411200. Its totient is φ = 137092435200.

The previous prime is 541001363327. The next prime is 541001363369. The reversal of 541001363364 is 463363100145.

541001363364 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 0 + 13 + 633 + 6 + 4 = 666.

It is a super-2 number, since 2×541001363364² (a number of 24 digits) contains 22 as substring.

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 (541001363369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452404 + ... + 1134315.

It is an arithmetic number, because the mean of its divisors is an integer number (9329913600).

Almost surely, 2^541001363364 is an apocalyptic number.

541001363364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

541001363364 is an abundant number, since it is smaller than the sum of its proper divisors (1250342047836).

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

541001363364 is a wasteful number, since it uses less digits than its factorization.

541001363364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586791 (or 1586783 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 541001363364 in words is "five hundred forty-one billion, one million, three hundred sixty-three thousand, three hundred sixty-four".