61146545460 has 192 divisors, whose sum is σ = 229877028864. Its totient is φ = 11728396800.

The previous prime is 61146545431. The next prime is 61146545477. The reversal of 61146545460 is 6454564116.

It is a happy number.

It is a super-2 number, since 2×61146545460² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448986 + ... + 569105.

It is an arithmetic number, because the mean of its divisors is an integer number (1197276192).

Almost surely, 2^61146545460 is an apocalyptic number.

61146545460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61146545460 is an abundant number, since it is smaller than the sum of its proper divisors (168730483404).

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

61146545460 is a wasteful number, since it uses less digits than its factorization.

61146545460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018134 (or 1018132 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

It can be divided in two parts, 61146 and 545460, that added together give a palindrome (606606).

The spelling of 61146545460 in words is "sixty-one billion, one hundred forty-six million, five hundred forty-five thousand, four hundred sixty".